reduce the following rational expression to the lowest form

[tex]\frac{64x^{5} - 64x}{( 8x^{2} +8) (2x +2) }[/tex]

please answer this. But no spam answers please
hurry

Answers

Answer 1

Answer:

4x(x - 1)

Step-by-step explanation:

Factor the numerator and denominator

64[tex]x^{5}[/tex] - 64x ← factor out 64x from both terms

= 64x([tex]x^{4}[/tex] - 1) ← difference of squares

= 64x(x² - 1)(x² + 1) ← x² - 1 is also a difference of squares

= 64x(x - 1)(x + 1)(x² + 1)

---------------------------------

(8x² + 8)(2x + 2) ← factor out 8 and 2 from each factor

= 8(x² + 1) × 2(x + 1)

= 16(x² + 1)(x + 1)

Then expression can be written as

[tex]\frac{64x(x-1)(x+1)(x^2+1)}{16(x^2+1)(x+1)}[/tex] ← cancel (x² + 1) and (x + 1) on numerator/ denominator

= [tex]\frac{64x(x-1)}{16}[/tex] ← cancel common factor 16 on numerator/ denominator

= 4x(x - 1)


Related Questions

Find the common ratio of the geometric sequence: 2/3,−2, 6,…

A. −1/3

B. -3

C. -1

D. 3

Answers

Answer:

B. -3

Step-by-step explanation:

Find the common ratio by dividing a term in the sequence by the one before it:

6/-2

= -3

So, the common ratio is -3.

The correct answer is B. -3

Answer:

B

Step-by-step explanation:

The geometric ratio is a3/a2=a2/a1=-2/(2/3)=-3.

More help with Geometry plss :)

Answers

Answer:

( 1, - 3.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = C (9, 2) and (x₂, y₂ ) = D (- 7, - 9 )

midpoint = ( [tex]\frac{9-7}{2}[/tex] , [tex]\frac{2-9}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex], [tex]\frac{-7}{2}[/tex] ) = (1, - 3.5 )

a ceartain trigangle has to 45 degree angles . what type of triangle is it

Answers

An isosceles right triangles

Answer:

Either a 45°-45°-90° triangle or an isosceles right triangle depending on the question

Step-by-step explanation:

A triangle that has two 45° angles always has a third angle of 90° making it a 45-45-90 as well as a right triangle.

a rectangular rug is 1.8m long 0.7 wide, all measurement are given to 1 decimal place

(They have been tranucated and not rounded)

A) state the minimum possible length of the rug

B) calculate the maximum possible area of the rug

Answers

Answer:

Explanation:

A. The minimum possible length of the rug is 1.

B. The maximum area of the rug is 2m^2

May anyone help me please and thank you

Answers

Answer:

Step-by-step explanation:

: v

Answer:

(x + 10)² = 4

Step-by-step explanation:

Given

2x² + 192 = - 40x ( add 40x to both sides )

2x² + 40x + 192 = 0 ( subtract 192 from both sides )

2x² + 40x = - 192 ( divide through by 2 )

x² + 20x =- 96

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(10)x + 100 = - 96 + 100

(x + 10)² = 4

m/IGF = 135x, m/HGF = 161°, and m/HGI = 26x. Find x​

Answers

Answer:

x = 1

Step-by-step explanation:

The two angles, ∠HGI & ∠IGF, when combined, will result in ∠HGF.

Note:

m∠IGF = 135x

m∠HGI = 26x

m∠HGF = 161°

Set the equation:

m∠IGF + m∠HGI = m∠HGF

Plug in the corresponding terms to the corresponding variables:

135x + 26x = 161

Combine like terms:

(135x + 26x) = 161

161x = 161

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Divide 161 from both sides:

(161x)/161 = (161)/161

x = 1

1 is your answer.

~

x = 161/161 = 1

HELP FAST! 100 POINTS

Answers

Answer:

F(8,6)

Step-by-step explanation:

(x₁,x₂)  --> E (-7, 2)

F(x₂,y₂)

Midpoint M(0.5 , 4)

Midpoint = [tex](\frac{x_{1}+x_{2}}{2},\frac{+y_{1}+y_{2}}{2})[/tex]

[tex](\frac{-7+x_{2}}{2},\frac{2+y_{2}}{2}) = (0.5, 4)\\\\[/tex]

Compare x,coordinates and y-coordinates,

[tex]\frac{-7+x_{2}}{2}= 0.5 \ ; \ \frac{2+y_{2}}{2}=4\\\\[/tex]

-7 + x₂ = 0.5*2    ; 2+y₂ = 4*2

-7+ x₂ = 1             ; 2 +y₂ = 8

     x₂ = 1+ 7        ;      y₂ = 8 - 2

     x₂ = 8            ;     y₂ = 6

F(8,6)

Answer:

F(8,6)

Step-by-step explanation:

(x₁,x₂)  --> E (-7, 2)

F(x₂,y₂)

Midpoint M(0.5 , 4)

Midpoint =

Compare x,coordinates and y-coordinates,

-7 + x₂ = 0.5*2    ; 2+y₂ = 4*2

-7+ x₂ = 1             ; 2 +y₂ = 8

    x₂ = 1+ 7        ;      y₂ = 8 - 2

    x₂ = 8            ;     y₂ = 6

F(8,6)

(I'm so confused please help)
Suppose M is the midpoint of XY. If XM = 2x + 11 and MY = 5x - 16, find the value of X.
A) x = -4
B) x = 4
C) x = -9
D) x = 9
E) x = 2

My math:
2x + 11 = 5x + 16
(-5x and -11 from both sides)
-3x=5
(divide -3 on each side)
x=-5/3
But it isn't an option, so I don't know.

Answers

Answer:

D

Step-by-step explanation:

Instead of 2x + 11 = 5x + 16, you should have put 2x+11 = 5x - 16. There is a sign change right before the 16, and you may have accidentally written down +16 instead of -16. I think that's where the problem is.

2x + 11 = 5x - 16

subtract 5x from both sides to make all variables on one side

-3x + 11 = -16

subtract 11 from both sides to isolate the x and its coefficient

-3x = -27

divide both sides by -3 to isolate x

x = 9

Julie wants to make 800 g of a 15% alcohol solution by mixing a
20% solution and a 4% solution. How many grams of each kind
does she need?

Answers

Answer:

x =550

y=250

Step-by-step explanation:

.2x + .04y = 120

x + y = 800

3^2 dived (-4+5)^2-11+2^3 hope you can answer

Answers

Answer:

3^2  = 9

(-4+5)^2-11+2^3 = -2

-2/9 or -9/2 ... re-read question is 3^2 dividing into (-4+5)^2-11+2^3

or the other way around... I think that there is a missing word...

3^2 "divided into"

vs 3^2 "divided by"

Step-by-step explanation:

1. The product of two consecutive numbers is 42. What are the numbers?

Answers

Answer:

6, 7

Step-by-step explanation:

6 x 7 = 42

6 and 7 are consecutive
6*7=42

Evaluate the expression when a=-7 and x=6 .
X-2a

Answers

Answer:

=X-2a

= 6- 2× (-7)

= 6 + 14

= 20

✌✌✌✌

Write an equation that represents the statement "the
product of a number, x, and the number 7 is 42."

Answers

Answer:

7x = 42

Step-by-step explanation:

"Product" refers to multiplication and "is" refers to equal to.

Hi! I'm happy to help!

This equation will be written like this

x×7=42

To make this easier to solve, we can use the inverse operation, division.

42÷7=x

42 divided by 7 is 6, so the answer is 6.

I hope this was helpful, keep learning! :D

If P =
1 2
then, prove that P2 - 2P - 5 = 0, 1 = 0, where I and 0 are unit
3 1
matrix and null matrix of order 2 x 2 respectively.

Answers

Answer:

thanks for free ponits you dint gave it free but I theft I'm sorry

The volume of this cube is 64 cubic feet. What is the value of a?

Answers

96 square units you are welcome
Answer:

a = 4

Step-by-step explanation:

Volume = l • w • h

Basically a number multiplied by itself 3 times that will give 64 (since the shape is a cube and all sides are equivalent)

a = 4

Please help me out with math will mark like brainlist if answers ASAP

Answers

Answer:

13/16

Step-by-step explanation:

To add these two fractions multiply the first fraction by 2 to get equivalent denominators so 6/16+7/16 then add the numerators to get 13/16.

Answer:

13/16

Step-by-step explanation:

3/8 + 7/16

Get a common denominator

3/8*2/2 + 7/16

6/16 + 7/16

13/16

Which graph represents 3x2 + 3y2 – 48x + 60y + 384 = 0?

Answers

it was helpful to you:

[tex]3 {x}^{2} + 3 {y}^{2} - 48x + 60y + 384 = 0 \\ \\ (x - a) {}^{2} + (y - b) {}^{2} = {r}^{2} \\ is \: the \: circle \: equcation \\ with \: a \: radius \: r \: centered \\ at \: (a \: b) \\ \\ rewrite \: 3 {x}^{2} + 3 {y}^{2} - 48x + 60y + \\ 384 = 0 \: in \: the \: standard \: of \: \\ circle \: equation \\ (x - {8}^{2} ) + (y - ( - 10)) {}^{2} \\ \\ therefore \: the \: circle \: properties \\ \: are \: (a \: b) = (8 \: - 10) \: r = 6 \\ \\ answer \: is \: (8 \: - 10) \: r = 6[/tex]

Answer:

Answer is A!

Step-by-step explanation:

I got it right on edg 2021!

HELP PLS. Team A built 8 sandcastles in 2 hours and Team B built 5 sandcastles in 1 hour. Which team worked at a faster rate?​

Answers

TeamB; team A has built 8 castles in 2 hours, so find the unit rate which is 8/2 which is 4, so team A has built 4 sandcastles in an hour, while team b has built 5 sandcastles in an hour. So team B has worked at a faster rate. Hope this helps!

Answer:

[tex]team \: a \\ 8 \: in \: number \: with \: in \: 2hours \: \\ so \: in \: 1hour \frac{8}{2} = 4 \\ \\ team \: b \\ 5 \: in \: number \: in \: 1 \: hour \\ so \: b \: is \: fast \\ thank \: you[/tex]

how do I answer these questions?

Answers

Answer:

cross multiplication would be the quickest technique that works to visualize this set of questions..

if [tex]\frac{a}{b} = \frac{c}{d}[/tex]  then ad = bc

each item that does not have a denominator add a "1" as the denominator

so first item... [tex]\frac{sin(50)}{1} = \frac{x}{4}[/tex]  

[tex]\frac{4 * sin(50) }{1} = x[/tex]     x = [tex]4\sin \left(50^{\circ \:}\right)=3.06417\dots[/tex]

#b) [tex]3\tan \left(81^{\circ \:}\right)=18.94125[/tex]

#c) [tex]6\cos \left(33^{\circ \:}\right)=5.03202[/tex]

.

.

#g)[tex]7.1\tan \left(18.4^{\circ \:}\right)=2.36185[/tex]

Step-by-step explanation:

Answer:

First we extract the sin or the tan according to the question and multiply the number with the denominator and extract the x .

a)

[tex] \sin(50) = \frac{x}{4} \\ 0.766 = \frac{x}{4} \\ x = 3.06[/tex]

b)

[tex] \tan(81) = \frac{x}{3} \\ 6.31 = \frac{x}{3} \\ x = 18.93[/tex]

C)

[tex] \cos(33) = \frac{x}{6} \\ 0.83 = \frac{x}{6} \\ x = 0.83 \times 6 \\ x = 4.98[/tex]

d)

[tex] \cos(75 ) = \frac{x}{3.5} \\ 0.258 = \frac{x}{3.5} \\ x = 0.2588 \times 3.5 \\ x = 0.90[/tex]

e)

[tex] \sin(24) = \frac{x}{4.2} \\ 0.406 = \frac{x}{4.2} \\ x = 0.406 \times 4.2 \\ x = 1.70 [/tex]

f)

[tex] \tan(42) = \frac{x}{10} \\ 0.9 = \frac{x}{10} \\ x = 9[/tex]

g)

[tex] \frac{x}{7.1} = \tan(18.4) \\ \frac{x}{7.1} = 0.33 \\ x = 0.33 \times 7.1 \\ x = 2.34[/tex]

h)

[tex] \frac{x}{5.3} = \sin(64.7) \\ \frac{x}{5.3} = 0.9 \\ x = 4.77[/tex]

i)

[tex] \frac{x}{12.6} = \cos(52.9) \\ \frac{x}{12.6} = 0.6 \\ x = 0.6 \times 12.6 \\ x = 7.56[/tex]

I hope I helped you^_^

-2z² + 4z + 2z² = ?
Anyone know this? ​

Answers

Answer:

4

Step-by-step explanation:

Let's simplify step-by-step.

−2z2+4z+2z2

Combine Like Terms:

=−2z2+4z+2z2

=(−2z2+2z2)+(4z)

=4z

Answer:

4z

Hope this helps <3 Need thanks?

Comment /hearthelp

[tex]\\ \sf\longmapsto -2z^2+4z+2z^2[/tex]

Combine like. variables

[tex]\\ \sf\longmapsto -2z^2+2z^2+4z[/tex]

[tex]\\ \sf\longmapsto (-2+2)z^2+4z[/tex]

[tex]\\ \sf\longmapsto 0z^2+4z[/tex]

[tex]\\ \sf\longmapsto 4z[/tex]

Algebra 1 need help ASAP

Answers

Answer:

It's A

Step-by-step explanation:

The money earned is 160 in 7 hours

The money earned is 100 in 3 hours

The slope = change in money / change in time

The slope = (160 - 100 ) / (7 - 3) = 60/4 = 15 dollars / hour

The slope means that for every hour he earns 15 dollars.

Which of the following numbers belongs in the solution for 5x > 2x + 7?
(A) -1
(B) 0
(C) 1
(D) 2
(E) 3

Answers

Answer:

?

Step-by-step explanation:

how do u get that answer.

a polynomial has been factored below but some constants are missing. 2x^3-8x^2-24x=ax(x+b)(x+c)

Answers

Answer:

The polynomial is 2x^3 - 8x^2 - 24x

And we can factor out a 2x from each of the three terms:

2x(x^2 - 4x - 12)

Lastly, factor the remaining quadratic:

2x(x+(-2))(x+6)

And we have our answer:

a=2

b=-2

c=6

Let me know if this helps!

Answer:

a =2, b =2, and c = -6

Step-by-step explanation:

We factor the polynomial and then see which value corresponds to what.

2x^3-8x^2-24x

As we see it, all terms are factorable by 2x. So if we take out 2x from every term, we get

2x(x^2 - 4x - 12)

Now we factor the quadratic, which we can do mentally to get

2x(x+2)(x-6)

ax(x+b)(x+c)

Comparing that to ax(x+b)(x+c), we can tell that a =2, b =2, and c = -6.

find the HCF of the following numbers by listing the set of factors class six the question is 60 and 90​

Answers

Answer:

30

Step-by-step explanation:

Sally is now 10 years older than Suki. 5 years ago, the sum of their age was 40. How old are they now?​

Answers

Answer:

Sally is 30 and Suki is 20

Step-by-step explanation:

x = Sally's age

y = Suki's age

x = 10 + y

(x - 5) + (y - 5) = 40

x = 30, y = 20

Sally is 45 and suki is 35

simplify: 3(x-2)+2(2x+5)=35​

Answers

Answer:

x=31/7

Step-by-step explanation:

3x-6+4x+10=35

7x=31

x=31/7 (The task was to find the x, not simplify)

Answer:

[tex]x=\frac{31}{7}[/tex]

Step-by-step explanation:

One is given the following equation,

[tex]3(x-2)+2(2x+5)=35[/tex]

Distribute, multiply every term inside the parenthesis by the term outside of it.

[tex]3(x-2)+2(2x+5)=35[/tex]

[tex](3)(x)-(3)(2)+(2)(2x)+(2)(5)=35[/tex]

Simplify,

[tex](3)(x)-(3)(2)+(2)(2x)+(2)(5)=35[/tex]

[tex]3x-6+4x+10=35[/tex]

[tex]7x+4=35[/tex]

Inverse operations,

[tex]7x+4=35[/tex]

[tex]7x=31[/tex]

[tex]x=\frac{31}{7}[/tex]

anyone know the mean median and mode for this?
with work show pls

Answers

Both are two line them up least to greatest and 2 is in the middle. Two shows up the most meaning it’s the mode.

Answer:

just apply d formular 4 each

lykfor the mean=£fx/£f...which x is the inches and f is the frequency...multiply both from 63 to 75 inches e.g 63×2=126, 65×1=65...then add the scores together.... then divide it by the summation of the frequency which is 2+1+4+3+1+2+2+2+1+3+2+2=23. note am applying this method based on the formular

for median=£f/2 since it's odd number add +1

=£f+1/2

=23+1/2

=24/2

=12 .the 12 would fall on 69 inches using the cumulative method

mode is 66 since it's the number with the highest frequency

Is the quotient of a rational number and
an irrational number always irrational?
Explain.

HELP ASAP

Answers

Is the quotient of a rational number and an irrational number always irrational?

Answer = No,It can be either rational or irrational.

________________________________

Prroof —

4 ÷ √8 = √2 { Which is an irrational number }

________________________________

Now, Here comes a twist,

We know that — 0 is a rational number.

And, 0 ÷ √56666 = 0 ________________________________

Note—

But, √56666 ÷ 0 = Error ( Lol )

________________________________

helphelphelphelphelphelphelp

Answers

Answer:

P = 1,-10

Q=1,-1

R=7,-1

S=7,-10

which of the following is the product of the rational expressions still here?

Answers

Answer:

B

Step-by-step explanation:

(x/(x-2))*(3/(x-2))=3x/(x-2)^2=3x/(x^2-4x+4)

Other Questions
A circle's circumference is approximately 76 cm. Estimate the radius, diameter, and area of the circle by using 3 for pi. Explain how the theme river is personified. [westminster bridge poem] differentiate between Physical and chemical changes with exampleplease help me ! Which equation is represented by the graph? What is the net pay for 40 hours worked at $8.95 an hour with deductions for Federal tax of $35.24, Social Security of $24.82, and other deductions of $21.33?$276.61$326.25$358.00$368.91 Let f (x) = 3x + 1 and let g(x) = x - 1. Find (fog) (5)0 0O 15O 4O 7 Solve x2 20 = 0. If necessary, round to the nearest hundredth. Five years ago Thompson, an investor, ran across a board game that he enjoyed and believed the game would become very popular. He purchased 1,000 shares of the corporation that publishes the game. Unfortunately, the game was too complex for most casual game players and sales never amounted to much. Over the five years, the stock of the publisher has remained steady, but has not increased in value. This is an example of Do You Agree or Disagree With Euthanasia or Mercy Killing? Given the formula A = 5h (B + b); solve for B.2 data are the meaningful result used in computer true or false HELP PLS HELP HELLLOPPPP and is in group 38 Rock she can put them into groups of 10 rocks or as single rocks what are the different ways Ann can group the rocks?and is grouping 38 rocks she can put them into groups of 10 rocks or has single rocks what are the different ways and can group The Rocks Hunter assumed he would only get 64problems correct on his test, but heactually got 78 correct. What was hispercent errorRound to the nearest percent. relationship between legislation and case law me ayudan porfavor:3 PLZ HELP I KINDA NEED THIS PLZSelect the correct answer. The function f(x) = x2 is graphed above. Which of the graphs below represents the function g(x) = (x + 1)2? A. WB. XC. YD. Z Which of the following does NOT describe rotation?spincounter-clockwiseflipclockwiseturn A chegada dos europeus America e sua conquista est ligada ao processo de Reforma Religiosa do sculo XVI. Para isso a Igreja Catlica promoveu nas colnias a catequizao dos indgenas com objetivo: 1 pontoA)de desenvolver a cultura local, melhorando a vida dos americanosB)de mudar a cultura indgena que era ultrapassada e selvagem.C)de conquistar novos cristos e afastar a influncia da Igreja Protestante.D)de reforar a religio crist local que, antes da chegada dos europeus, j era cultuada pelos indgenas..3. Diante do mapa abaixo podemos afirmar. *1 pontoA)representa os tratados firmados entre Espanha e Inglaterra pela diviso do mundo, ficando os ingleses com parte do Brasil.B)representa os tratados de diviso territorial entre Espanha e Portugal: Proposta Papal e Tordesilhas. onde Portugal ficaria com parte da AmricaC)representa o tratado de Tordesilhas no qual a Espanha teria direito s terras brasileiras.D)representa os Tratados Papal e Tordesilha onde Portugal teria direito s terras ao norte da Amrica You want to invest $18,000 and are looking for safe investment options. Your bank is offering you a certificate of deposit that pays a nominal rate of 6% that is compounded semiannually. What is the effective rate of return that you will earn from this investment