Question

(x-6)(x+7)/(x-9)(x+5)?

Answer 1

`=(x^2+x-42)/(x^2-4x-45`

Explanation:

`((x-6)(x+7))/((x-9)(x+5))`

Use the distributive property

`=((x)(x)+(x)(7)+(-6)(x)+(-6)(7))/((x)(x)+(x)(5)+(-9)(x)+(-9)(5)`

`=(x^2+7x-6x-42)/(x^2+5x-9x-45)`

`=(x^2+x-42)/(x^2-4x-45`

`=(x^2+x-42)/(x^2-4x - 45`