Question

What is the answer if you Factor 4x^2-256

Answer 1

x = -8 and 8

Explanation:

1st we can factor out a 4 so we get

0 = 4(x^2 - 64)

now can either factor it out some more or just solve for x.

if we factor it out more we get

0 = 4(x + 8)(x - 8)

we got x + 8 and x - 8 because 64 is a perfect root and it was negative. now we solve for x.

x = 8, x = -8

Answer 2

4(x + 8)(x - 8)

Explanation:

We can start by finding the GCF of both terms. We can notice that both terms are divisible by 4, so we can factor it out:

4(x^2 - 64)

Now, we can notice that x^2 - 64 resembles the special product a^2 - b^2 which factors to (a + b)(a - b). In this case, a^2 = x^2 and b^2 = 64.

So,

a = x

b = 8

We can substitute:

(a + b)(a - b)

(x + 8)(x - 8)

We can add the 4 from the beginning in to get:

4(x + 8)(x - 8)