2 Answers

Dloomb · Answer 1 · 2021-08-28T05:50:27+0000

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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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Steve Vinoski · Answer 2 · 2021-08-29T14:52:15+0000

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

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