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Simplify the rational expression. x^2 - 3x - 54 | x^2 -10x + 9

User About
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2 Answers

0 votes

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\frac{ {x}^(2) - 3x - 54 }{ {x}^(2) - 10x + 9 } = ((x - 9)(x + 6))/((x - 9)(x - 1)) = (x + 6)/(x - 1) \\

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User Dloomb
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5 votes

Answer:


(x+6)/(x-1)

Explanation:

Given


(x^2-3x-54)/(x^2-10x+9) ← factorise both numerator and denominator

=
((x-9)(x+6))/((x-9)(x-1)) ← cancel (x - 9) on numerator/ denominator

=
(x+6)/(x-1) ← x ≠ 1

User Steve Vinoski
by
6.5k points
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