Question

Factor completely x2 − 64. (x + 8)(x − 8) (x + 8)(x + 8) (x − 8)(x − 8) Prime

Answer 1

(x+8)(x-8)

If you factor it, you get x2 + 0 - 64

Answer 2

Factor completely x² − 64 is (x + 8)(x − 8)

What is the difference betwen two sqaures?

The difference between two squares of two number is the product of the sum and difference of two numbers.

It is an identity which is a²-b²=(a+b)(a-b)

So acoording to the asked question,

x²-64

=x²-8²

by using the difference between two squares identity

where a=x , b=8

=(x+8)(x-8)

Therefore factor completely x² − 64 is (x + 8)(x − 8)

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