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4 votes
X square + 4x - 5 / x square + 9x + 20

1 Answer

4 votes

Answer:


(x-1)/(x+4)

Explanation:

Factor the numerator and denominator

x² + 4x - 5 = (x + 5)(x - 1)

x² + 9x + 20 = (x + 4)(x + 5)

Thus fraction becomes


((x+5)(x-1))/((x+4)(x+5))

Cancel the factor (x + 5) on numerator/ denominator

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

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