Question

How do you multiply `(48s^3+36s^2)/(9s(s^2-3s-10)) xx (16s+12)/(s^2-7s+10)`?

Answer 1

`(48s^3+36s^2)/(9s(s^2-3s-10)) xx (16s+12)/(s^2-7s+10)`

Factoring
`((12s^2)(4s+3))/((9s)(s-5)(s+2)) xx ((s-5)(s-2))/(4(4s+3)`

`((12s^2)color(red)(cancel((4s+3))))/((9)scolor(blue)(cancel((s-5)))(s+2)) xx (color(blue)(cancel((s-5)))(s-2))/(4color(red)(cancel((4s+3)))`

`(color(red)((cancel(3s)))color(blue)(cancel((4)))(s) (s-2))/((3)color(red)(cancel((3s)))(s+2)color(blue)(cancel((4))))`

`=(s(s-2))/(3(s+2))`