Question

How do you simplify `(x^3+5x^2-x-5)/(x^2-25)*(x+1)`?

Answer 1

`((x+1)^2(x-1))/((x-5))`

Explanation:

Factorise

`(x^3+5x^2color(red)(-x-5))/(x^2-25)xx(x+1)/1`

=`(x^2(x+5)color(red)(-(x+5)))/((x+5)(x-5)) xx (x+1)/1`

=`((x+5)(x^2-1))/((x+5)(x-5)) xx (x+1)/1`

=`(cancel((x+5))(x+1)(x-1))/(cancel((x+5))(x-5)) xx (x+1)/1`

=`((x+1)^2(x-1))/((x-5))`