Simplify ((x-8)^2)/(x^2-64)

Math
(x-8)2×2-64
Simplify the denominator.
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Rewrite 64 as 82.
(x-8)2×2-82
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=x and b=8.
(x-8)2(x+8)(x-8)
(x-8)2(x+8)(x-8)
Cancel the common factor of (x-8)2 and x-8.
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Factor x-8 out of (x-8)2.
(x-8)(x-8)(x+8)(x-8)
Cancel the common factors.
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Factor x-8 out of (x+8)(x-8).
(x-8)(x-8)(x-8)(x+8)
Cancel the common factor.
(x-8)(x-8)(x-8)(x+8)
Rewrite the expression.
x-8x+8
x-8x+8
x-8x+8
Simplify ((x-8)^2)/(x^2-64)

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