Question

Which of these is a factor of (p + 2)2 - (p - 2)2?

Answer 1

It will be p-4 and p+4
-4+4=0

Answer 2

Answer:

$\large\boxed{8}$

Step-by-step explanation:

To solve this problem, first you have to find the factors of (p+2)2-(p-2)2 from left to right.

Given:

(p+2)*2-(p-2)*2

(p+2)-2(p-2)

Solutions:

First, expand by using with distributive property.

$\Large\boxed{\textnormal{Distributive Property}}$

$\displaystyle A(B+C)=AB+AC$

2(p+2)

A=2

B=P

C=2

$\displaystyle 2p+2*2$

Multiply the numbers from left to right.

$\displaystyle 2*2=4$

$\displaystyle 2p+4$

Rewrite the whole problem.

$\displaystyle 2p+4-(p-2)*2$

Next, expand.

Solve.

-2(p-2)

A=(-2)

B=P

C=2

$\displaystyle -2p-(-2)*2$

Change negative sign to positive sign.

$\displaystyle -(-f)=f$

$\displaystyle -2p+2*2$

Multiply.

$\displaystyle 2*2=4$

$\displaystyle -2p+4$

Rewrite the whole problem down.

$\displaystyle 2p+4-2p+4$

Solve.

Combined like terms. (group like terms or switch sides.)

$\displaystyle 2p-2p+4+4$

Add numbers from left to right.

Add similar elements from left to right numbers.

$\displaystyle 2p-2p=0$

Add.

$\displaystyle 4+4$

$\displaystyle 4+4=\boxed{8}$

Therefore, the correct answer is 8.