Question

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

Answer 1

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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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Answer 2

`(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