Question

How do you simplify `(x^2+11x)/(x-2)div(3x^2+6x)*(x^2-4)/(x+11)`?

Answer 1

`1/3`

Explanation:

`(x^2+11x)/(x-2)-:(3x^2+6x)xx(x^2-4)/(x+11)`

`=(x(x+11))/(x-2)xx1/(3x(x+2))xx((x-2)(x+2))/(x+11)`

`=(cancel((x))(cancel(x+11)))/cancel((x-2))xx1/(3cancel((x))cancel((x+2)))xx((cancel(x-2))cancel((x+2)))/cancel((x+11))`

`=1/3`