Question

Which of the following are the factors of 4b2 − 16?

Answer 1

4b^2 - 16 =
4(b^2 - 4) =
4(b + 2)(b - 2)

Answer 2

Answer:

$4(b+2)(b-2)$

Step-by-step explanation:

We have been given an expression and we are asked to find the factors of our given expression.

$4b^2-16$

First of all we will factor out 4 from our given expression.

$4(b^2-4)$

We can see that $b^2-4$ is difference of squares, so we can factor it using difference of squares formula: $a^2-b^2=(a+b)(a-b)$.

$4(b^2-2^2)$

$4(b+2)(b-2)$

Therefore, the factored form of our given expression is $4(b+2)(b-2)$.