1/a+b + 1/a-b +2b/a^2-b^2 simplify​

Answers

Answer 1

Answer:

[tex]\frac{2}{a-b}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{a+b}[/tex] + [tex]\frac{1}{a-b}[/tex] + [tex]\frac{2b}{a^2-b^2}[/tex] ← a² - b² is a difference of squares

= [tex]\frac{1}{a+b}[/tex] + [tex]\frac{1}{a-b}[/tex] = [tex]\frac{2b}{(a-b)(a+b)}[/tex] ← LCD is (a - b)(a+b)

= [tex]\frac{a-b+a+b+2b}{(a-b)(a+b)}[/tex]

= [tex]\frac{2a+2b}{(a-b)(a+b)}[/tex]

= [tex]\frac{2(a+b)}{(a-b)(a+b)}[/tex] ← cancel common factor (a + b) on numerator/ denominator

= [tex]\frac{2}{a-b}[/tex]


Related Questions

Where is the blue dot on the number line?
年十
?
7.5
____

Answers

Answer:

The blue dot is located at -3

An Olympic swimming pool is 25 meters long. How long is the pool in yards?

Answers

27.34 yards is 25 metres

At 5:00 a.m., the temperature outside was 6°F below zero. By noon, it rose by 15°F.
At 7:00 p.m., the temperature dropped by 5°F. What was the evening temperature?

Answers

Answer:

The evening temperature is 4° F

Step-by-step explanation:

6° F below 0 =  -6.

15° F. -6 + 15 is 9.

9° F. 5° F. 9 - 5 = 4

If p+1/p - 7 then find the value of p³+1/p³ ​

Answers

Answer:

322

Step-by-step explanation:

We have,

a^3+b^3=(a+b)^3-3ab(a+b)

p+1/p=7

Now,

p^3+1/p^3=(p+1/p)^3-3*p*1/p(p+1/p)

               =7^3-3(7)=343-21=322

I need to buy enough fencing to go all around my rectangular garden. The garden is 20m long and 5m wide. How many meters of fencing will I need?

I need explanation with answer
Thank you!​

Answers

Find the perimeter
So 20 times 2
And 5 times 2
Then add the two

Your answer is 50m

50 m

Step One: Every rectangle, opposite side are equal sides.

Area=2, the area of this rectangle is 2*(l+b).

Step Two: Simplify the numbers: 2*(l+b) is also equal to 2*(20+5) and 2*(20+5) is equal to 2*25, so:

50 meters.

I hope I've helped!

If 3x + 6y = 7z, find x + 2y in terms of z.

Answers

Answer:

Does the answer help you?

150°
2x + 100°
X =
degrees

Answers

Answer:

x = 25°

Step-by-step explanation:

The 2 angles are vertical angles and are congruent , then

2x + 100 = 150 ( subtract 100 from both sides )

2x = 50 ( divide both sides by 2 )

x = 25°

Answer: x = 25°

Step-by-step explanation:

⇒2x + 100 = 150

⇒2x = 150-100

⇒x = 50/2

⇒x = 25

Reason (VOA) vertically opposite angles are equal.

please click thanks and mark brainliest if you like :)

hello, can i please get some please on this one ASAP! i will mark as BRAINLIEST!!

Answers

Answer:

[tex](x+6)(x-6)[/tex]

Step-by-step explanation:

Hi there!

The difference of squares theorem states that [tex]a^2-b^2=(a+b)(a-b)[/tex].

We're given:

[tex]x^2-36[/tex]

This can be rewritten since 36 is a perfect square:

[tex]=x^2-6^2[/tex]

Use the difference of squares theorem:

[tex]=(x+6)(x-6)[/tex]

I hope this helps!

Answer:

(x-6)(x+6)

Step-by-step explanation:

x^2 -36

Rewriting

x^2 - 6^2

We know a^2 - b^2 = (a-b)(a+b)

(x-6)(x+6)

Plssss help me with this question!!!!

Answers

Sum of two interior angles =exterior angle

[tex]\\ \sf\longmapsto x+14+x=32[/tex]

[tex]\\ \sf\longmapsto 2x+14=32[/tex]

[tex]\\ \sf\longmapsto 2x=32-14[/tex]

[tex]\\ \sf\longmapsto 2x=18[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{18}{2}[/tex]

[tex]\\ \sf\longmapsto x=9[/tex]

Work out an estimate for the value of 89.3X0.51divided by 4.8​

Answers

Answer:

It is 9.5

Step-by-step explanation:

[tex] = (89.3 \times 0.51 )\div 4.8[/tex]

first solve the bracket:

[tex] = (45.543) \div 4.8 \\ = 9.488[/tex]

enter the repeating digit
[tex] \frac{9}{11} [/tex]

Answers

Answer:

Step-by-step explanation:

[tex]\frac{9}{11}=0 .818181....[/tex]

     __  

= 0.81

Divide...................​

Answers

Answer:

Exact form 9/4 Mixed number form 2 1/4 decimal form 2.25

Step-by-step explanation:

Answer:2.25

Step-by-step explanation:

hope this helps

Find n.
help pleaseeee

Answers

Answer:

C

Step-by-step explanation:

Im pretty sure its c, i took this test not too long ago.

solve for each of the following equations. /2x+3/=10

Answers

Answer:

/2x+3/=10

2x+3=10 or 2x+3=-10

2x=10-3 or 2x=-10-3

2x=7 or 2x=-13

X=7÷2 or X=-13÷2

X=3.5 or X=-6.5

Please help explanation if possible

Answers

Answer:

y = 3x+6

Step-by-step explanation:

refer to the picture

Answer:

y = 3x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x + 2 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, so slope of parallel line is 3

Expressing the equation in point- slope form with m = 3 , (x₁, y₁ ) = (1, 9)

y - 9 = 3(x - 1)

y - 9 = 3x - 3 ( add 9 to both sides )

y = 3x + 6 ← in slope- intercept form

name the property that the following statement illustrates 84+8=8+84

Answers

Answer:

the commutative property of addition :)

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
A ___________________ summarizes all values in a data set and lists how many times they occur.
A. tally chart
B. data value
C. data summary
D. frequency table

Answers

Answer:

Step-by-step explanation:

B) data summary its in the words it sums up the answers to all the data you've collected over timew

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!

Answers

Answer:

A)

Step-by-step explanation:

Volume of a Rectangular Prism Formula: L x W x H

6 yd x 3 yd x 4 yd = 72 yd^3

45 laboures can repair a road in 24 days .how many labourers should be added to repair the road in 20 days​

Answers

Answer:

here's your answer .Hope you will understand it.

Answer:

9

Step-by-step explanation:

hope it will help good day.

find the domain and range in the following condition.
a.R={(X,y):y=2x-3},range={3,5,9}
b.R={(X,y):y=4x+1}, domain={0,1,2}​

Answers

Answer:

domain : {3,4,6}

range: {1,5,9}

Graph the line that passes through the points (1,-6) and (2,-5) and determine the equation of the line.

Answers

Answer:

y=x-7

Step-by-step explanation:

Slope of the line is (-5+6)/(2-1)=1. Equation of the line is y=x-7

a box's volume set is 112 cubic inches. it has an open top. what is the length, width, and height?

Answers

hi

it a cube so it's height,length and width are the same.

if volume is 112 so one if this measure is : 112^(1÷3) =4,82

Butter kruse made 522 glaze donuts and 323 chocolate covered donuts. They put the donuts in boxes. Each box holds 12 donuts. How many boxes do they need?

Answers

Answer:

71 boxes

Step-by-step explanation:

1. Add 522 (# of glaze donuts) and 323(# of chocolate covered donuts).....845(# of total donuts)

2. Divide 845 by 12(the # of donuts each box could hold)....70.41666(repeating)

3. As you can't have a 0.41666 of a box, you round up 70.4166666 to 71.

71*12=852 70*12=840

Even though 71 boxes is more than enough to hold 845 donuts, there is simply no other choice, as there is no smaller box that holds less than 12 donuts.

Choose the correct equation to use for the following story problem: A bakery has two pastry ovens. When both ovens are used, it takes about 3 hours to bake the bread needed for one day. When only the large oven is used, it takes about 4 hours to bake the bread for one day. Approximately how long would it take to bake the bread for one day if only the small oven was used

Answers

Answer:

3 hour in my calculation

Answer:

3 hours. ......i think. ..........

Multiply. Write your answer in the simplest form.
3/8×3/7×4

Answers

Answer:

9/14

Step-by-step explanation:

3/8 * 3/7 * 4/1

~Multiply

9/56 * 4/1

~Multiply again

36/56

~Simplify

9/14

Best of Luck!

Answer:9/14

Step-by-step explanation:

3/8×3/7=9/56

9/56×4/1

(divide the 56 by 4 and the 4 by 4)

9/14 × 1/1 = 9/14

Help with this please!!!

Answers

Answer:

Sometimes true.

Step-by-step explanation:

If I is not the midpoint of HJ, then it may lie any where on the line HJ and may not lie on HJ.

So, sometime i.e when I lies on HJ, H , I and J are collinear

If the each side of equalaterial triangle is a cm. what is the area?​

Answers

Step-by-step explanation:

[tex]area \: of \: a \: triangle = \frac{1}{2} \times base \times height \\ \\ base = \frac{a}{2} cm \\ {h}^{2} + {( \frac{a}{2} )}^{2} = {a}^{2} \\ \\ h = \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ area \: of \: triangle = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times \frac{a}{2} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ = \frac{a}{4} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } [/tex]

1/4 (8x + 12) - 4x = -1

Answers

Answer: x = 2

Step-by-step explanation:

Given

(1/4) (8x + 12) - 4x = -1

Expand parentheses

(1/4) (8x) + (1/4) (12) - 4x = -1

2x + 3 - 4x = -1

Combine like terms

-2x + 3 = -1

Subtract 3 on both sides

-2x + 3 - 3 = -1 - 3

-2x = -4

Divide -2 on both sides

-2x / -2 = -4 / -2

x = 2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x=2

Step-by-step explanation:

Hope this helps

PLEASE HURRY
Select the correct answer.


Sam is an artist, and he wants to purchase frames to display his work at home. He wants to frame no fewer than 10 of his pieces, and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18.


Which system of inequalities can Sam use to determine the number of large frames, x, and medium frames, y, that he can purchase to meet his needs?


A.

18x + 24y ≤ 225

x + y ≥ 10

B.

24x + 18y ≥ 225

x + y ≤ 10

C.

18x + 24y ≥ 225

x + y ≤ 10

D.

24x + 18y ≤ 225

x + y ≥ 10

Answers

Answer:

D.

24x + 18y ≤ 225

x + y ≥ 10

Step-by-step explanation:

"He wants to frame no fewer than 10"

x + y ≥ 10

"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."

24x + 18y ≤ 225

Answer:

D.

24x + 18y ≤ 225

x + y ≥ 10

Answer: D.

24x + 18y ≤ 225

x + y ≥ 10

Step-by-step explanation: "He wants to frame no fewer than 10"

x + y ≥ 10

"and he can spend a maximum of $225. Large frames cost $24, and medium frames cost $18."

24x + 18y ≤ 225

Answer: D.

24x + 18y ≤ 225

x + y ≥ 10

Can someone help me please!

Answers

Answer:

[tex] \sqrt{ - 147} = \sqrt{147} \times \sqrt{ - 1} = 7i \sqrt{3} [/tex]

I hope I helped you ^_^

The answer ; √ –108 = √108 × √–1 = 6i √3

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