Question

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

Answer 1

`(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)`