Question

How do you simplify `(4(x+5))/(x^2+2x-15)`?

Answer 1

`=4/(x-3)`

Explanation:

`(4(x+5))/(x^2+2x-15)`

`=(4(x+5))/(x^2+5x-3x-15)`

`=(4(x+5))/(x(x+5)-3(x+5))`

`=(4(x+5))/((x+5)(x-3))`

`=(4cancel((x+5)))/(cancel((x+5))(x-3))`

`=4/(x-3)`