Question

How do you simplify `4/(x+2) * (x^2-4)/(4x-8)`?

Answer 1

`=color(blue)(1`

Explanation:

`(4/(x+2)) * (x^2-4)/(4x-8)`

We can factorise `x^2-4` as `color(blue)((x+2)(x-2)`

`(4/cancel(x+2)) .(color(blue)(cancel(x+2)cancel((x-2))))/(4cancel((x-2))`

`=4/4`

`=color(blue)(1`