Question

Help Please? Factor Completely: 2x2 − 32

Prime
2(x2 − 16)
2(x + 4)(x + 4)
2(x + 4)(x − 4) ...?

Answer 1

D. 2(x + 4)(x − 4)

Explanation:

Answer 2

Option 4th is correct

`2 \cdot (x-4)(x+4)`

Explanation:

Using difference of square:

`a^2-b^2=(a-b)(a+b)`

GCF is the largest number that divide the given polynomial or expression.

Given the expression:

`2x^2-32`

We have to completely factor the expression.

GCF of
`2x^2` and 32 is, 2

then;

`2 \cdot (x^2-16)`

Using difference of square

`2 \cdot (x-4)(x+4)`

therefore, the completely factor of
`2x^2-32` is,
`2 \cdot (x-4)(x+4)`