Question

Factor completely 4x^2 − 32

Answer 1

Answer:
`4(x+2√(2))(x-2√(2))`

Explanation:

We can first take out the common factor of 4, as both 4x² and -32 are divisible by 4.

`4(x^2-8)`

From here, we can assume that x²-8 is a difference of two squares even though 8 is not a perfect square.

For review, a difference of two squares
`a^2-b^2` can be factored into
`(a+b)(a-b)`.

`4(x^2-8)\\4(x+√(8))(x-√(8))\\4(x+2√(2))(x-2√(2))`