Final answer:
To simplify the expression (3am+9a+pm+3p)/(9a²+6ap+p²)*(30a+10p)/(5m²+15m) in simplified form, cancel out common factors in the numerator and denominator.
Step-by-step explanation:
To simplify the expression (3am+9a+pm+3p)/(9a²+6ap+p²)*(30a+10p)/(5m²+15m) in simplified form, we can cancel out common factors in the numerator and denominator. Canceling out 'a' and 'p' terms, we are left with (3m+9+3)/(9a+6+1)*(30+10p)/(5m+15). Simplifying further, we get (3m+12)/(9a+7)*(30+10p)/(5m+15).