Question

Which expression is equivalent to
x^2 − x − 6/x^2+2x-15

Answer 1

`(x+2)/(x+5)`

Explanation:

Factorise the numerator and denominator

x² - x - 6 = (x - 3)(x + 2)

x² + 2x - 15 = (x - 3)(x + 5)

Hence

=
`((x-3)(x+2))/((x-3)(x+5))`

Cancel the factor (x - 3) on the numerator/ denominator leaving

`(x+2)/(x+5)` ← equivalent expression