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

1 Answer
Sep 2, 2016

((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))