Question

How do you simplify `(5x^2+10x)/(x^2-x-6)div(15x^3+45x^2)/(x^2-9)`?

Answer 1

`1/(3x)`

Explanation:

To simplify, it is advisable to factorise the expressions first and then see if some get cancelled out.

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

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

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

= `1/(3x)`