Respuesta :
Answer:
4(x + 8)(x - 8)
Step-by-step 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)
Answer:
x = -8 and 8
Step-by-step 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