12. Divide. (x^2+2x+1/x^2-8x+16) / (x+1/x^2-16

Question

Mathematics

Leilani Grant

3 November, 04:57

12. Divide. (x^2+2x+1/x^2-8x+16) / (x+1/x^2-16

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Answers (1)

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Emilie Harper · Answer 1

For this case we have the following expression:

(x ^ 2 + 2x + 1 / x ^ 2-8x + 16) / (x + 1 / x ^ 2-16)

Rewriting we have:

(((x + 1) (x + 1)) / ((x-4) (x-4))) / (x + 1 / ((x + 4) (x-4)))

Then, we cancel similar terms:

((x + 1) / (x-4)) / (1 / (x + 4))

Rewriting:

((x + 1) (x + 4)) / (x-4)

Answer:

((x + 1) (x + 4)) / (x-4)