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

`4(b+2)(b-2)`

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)`.