Simplify x^2-16x+64/ x^2-64

x^2 - (64/x^2)-16x+64
move the - (64/x^2) to the end: x^2 -16x +64 - (64/x^2)
factor the first part: (x-8)(x-8) - (64/x^2)
notice we can rewrite as: (x-8)^2 - (64/x^2)
now if we multiply the top and bottom of the first part by x^2 we get: ((x^2)(x-8)^2)/x^2 - (64/x^2)
Which will simplify to: (x^2(x-8)^2-64)/x^2
which can be written as: (x^4 - 16x^3 - 64x^2 -64)/x^2
and so we can factor the top get the answer: (x^2-8x+8)(x^2-8x-8)/(x^2)??right??!

Question

Simplify x^2-16x+64/ x^2-64

x^2 - (64/x^2)-16x+64
move the - (64/x^2) to the end: x^2 -16x +64 - (64/x^2)
factor the first part: (x-8)(x-8) - (64/x^2)
notice we can rewrite as: (x-8)^2 - (64/x^2)
now if we multiply the top and bottom of the first part by x^2 we get: ((x^2)(x-8)^2)/x^2 - (64/x^2)
Which will simplify to: (x^2(x-8)^2-64)/x^2
which can be written as: (x^4 - 16x^3 - 64x^2 -64)/x^2
and so we can factor the top get the answer: (x^2-8x+8)(x^2-8x-8)/(x^2)??right??!

anonymous · Answer

$$(x ^{2}-16x+64)/(x ^{2}-64)$$

anonymous · Answer

Factoring that will give you:$$(x-8)/(x+8)$$

anonymous · Answer

OHHH,, thank you

anonymous · Answer

Not a problem!