Question

What is the completely factored form of 2x2 – 32?

Answer 1

I hope this helps you

Answer 2

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

Explanation:

The given expression is
`2x^2-32`

The GCF of the expression is 2. Hence, we can factor out 2

`2(x^2-16)`

Now, we can write 16 as a perfect square

`2(x^2-4^2)`

Apply the difference of squares formula
`a^2-b^2=(a+b)(a-b)`

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

Therefore, the factored form of the given expression is
`2(x+4)(x-4)`