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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