Question

How do you multiply and simplify `\frac { p ^ { 2} - p - 6} { 3p - 9} \cdot \frac { p ^ { 2} - 9} { p ^ { 2} + 6p + 9}`?

Answer 1

`((p+2) (p-3)) / (3(p+3)`

Explanation:

`(p^2-p-6)/(3p-9)* (p^2-9)/(p^2+6p+9)`

`=(cancel((p-3))(p+2))/(3cancel((p-3))) * (cancel((p+3))(p-3))/((p+3)^cancel2`

`= ((p+2) (p-3)) / (3(p+3)` [Ans]