Single fraction in its simplest form

Kodaloid asked Aug 13, 2023

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32 votes

$Single fraction in its simplest form-example-1$

Kodaloid asked Aug 13, 2023

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11 votes

Answer:
(5)/((x+1)(x+5))

Explanation:

(5)/(x+5) - (5x)/(x^2+6x+5) =

(5)/(x+5) - (5x)/((x+1)(x+5)) =

(5(x+1))/((x+1)(x+5)) - (5x)/((x+1)(x+5)) =

(5(x+1)-5x)/((x+1)(x+5)) =

(5x+5-5x)/((x+1)(x+5)) =
(5)/((x+1)(x+5))

Otognan answered Aug 17, 2023

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