Question

How do you multiply `(10w-8)/(w+2)*(3w^2-w-14)/(25w^2-16)`?

Answer 1

`(6w -14)/(5w +4)`

Explanation:

`25w^2 -16` should be screaming "the difference of two squares" to you. `(5w -4)(5w +4)`
So look to factorise the other terms:

`(2(5w -4))/(w +2)` `xx` `((w +2)(3w -7))/((5w -4)(5w +4))`

Cancel down to leave

`2/1` `xx` `(3w -7)/(5w +4)`

`=>` `(6w -14)/(5w +4)`