Find the difference x/25x-125-1/x^2-5x

Question

Kassidy Moyer

Mathematics

4 July, 14:44

Find the difference x/25x-125-1/x^2-5x

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Answers (1)

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Makayla Molina · Answer 1

The difference of x/25x-125-1/x^2-5x

(x/25x-125) - 1 / (x^2-5x) = x / 25 (x-5) - 1 / x (x-5) = (1/x-5) (x/25-1/x) factorized by 1/x-5, and (1/x-5) (x/25-1/x) = (1/x-5) (x²-25/25x) = (1/x-5) [ (x-5) (x+5) / 25x]

= (x+5) / 25x simplified by x-5

so the final answer is

x/25x-125-1/x^2-5x = (x+5) / 25x