.simplify
(2a+5)²-(a+3)(a-3)​

Answers

Answer 1

Answer:

3a^2 + 20a + 34

Step-by-step explanation:

(2a + 5)^2 = 4a^2 + 20a + 25

(a +3)(a - 3) = a^2 - 9

Put these two partial answers together.

4a^2 + 20a + 25 -(a^2 -9 )                 Remove the brackets.

4a^2 + 20a + 25 -  a^2 + 9

4a^2 + 20a + 25 - a^2 + 9

3a^2 + 20a + 34

Answer 2

Answer: 3a² + 20a + 34

Concept:

When doing simplifying expressions, following the PEMDAS method would be easier.

ParenthesesExponentsMultiplicationDivisionAdditionSubtraction

When expanding parentheses, following the FOIL method would be easier.

FirstOuterInner Last

Solve:

Given expression

(2a + 5)² - (a + 3) (a - 3)

Simplify exponenets

= (2a + 5) (2a + 5) - (a + 3) (a - 3)

Expand parentheses

= 4a² + 10a + 10a + 25 - (a² - 3a + 3a - 9)

= 4a² + 10a + 10a + 25 - a² + 3a - 3a + 9

Combine like terms

= 4a² - a² + 10a + 10a + 3a - 3a + 25 + 9

= 3a² + 20a + 34

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

Correct answer gets brainliest

Answers

Answer:

1.C submit ..............................................

Answer:

A

Step-by-step explanation:

Calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = C (2, - 1) and (x₂, y₂ ) = D (5, 3)

CD = [tex]\sqrt{(5-2)^2+(3-(-1))^2}[/tex]

      = [tex]\sqrt{3^2+(3+1)^2}[/tex]

      = [tex]\sqrt{9+4^2}[/tex]

      = [tex]\sqrt{9+16}[/tex]

      = [tex]\sqrt{25}[/tex]

      = 5 units → A

12 the difference of a number and 15

Answers

answer your phone

n-15

stepson

n represents a number minus 15

Factor the polynomial completely using the
X method.

x2 + 16x + 48
An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression x squared + 16 x + 48.

Answers

The factors of the polynomial x² + 16x + 48 are ;

-4 and -12.

Given the polynomial :

x² + 16x + 48

To factorize :

x² + 16x + 48 = 0

Two numbers whose addition gives 16 and product gives 48

The two numbers are : 12 and 4

x² + 12x + 4x + 48 = 0

x(x + 12) + 4(x + 12)

Hence,

(x + 12) = 0

(x + 4) = 0

Hence,

x = -4 or x = -12

Learn more : https://brainly.com/question/12787576

Which rational number is the greatest
a. 0.55
b. 0.6
c. 9/20
d. 1/2

Answers

I think d.1/2 number is the greatest rational number .

3. In the following formal proof, what is the missing reason?

Answers

Answer:

A

Step-by-step explanation:

Start with 2x = 12, and end with x = 6.

To do that, you need to divide both sides by 2.

Answer: A

The answer is A
I just know it

7(3b-1)=2b-26 please help and give me step by step ☺️​

Answers

Answer:

b = -1

Step-by-step explanation:

7(3b-1): 7 goes into the numbers by multiplying. This will give you 21b-7.

So now the equation should be like 21b-7=2b-26.

-7 and 2b swap places, making 21b-2b=7-26. It will give you 19b= -19.

Finally divide the two numbers (-19 / 19) and the solution will be b= -1.

If I didn't make a clear answer or a good explanation, please comment. I sometimes mess up my steps, and this is my first time using this.

Answer:

b = -1

Step-by-step explanation:

7(3b -1 ) = 2b - 26

First, distribute.

21b - 7 = 2b - 26

Then, add 7 to both sides AND subtract 2b on both sides

21b - 7 + 7 - 2b = 2b - 2b - 26 + 7

Add common terms

19b = -19

Divide by 19

b = -1

help help help help help

Answers

E’(5,-2)
F’(1,-2)
G’(5,1)
H’(5,5)
Please check if I understand the question correct

Hi ,I need help. pls?

Answers

The answer is x is equal to 2

Graph the following lines

Answers

y = 2x + 1 is red
y = 2x - 1 is blue
y = -x + 3 is green
y = 2/3x - 4 is purple
use desmos it’s a great tool
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