Question

multiply or divide as indicated. be sure to reduce all answers to lowest terms. ( the numerator and denominator of the answer should not have any factors in common)

Answer 1

we have the expression

`(3a^2+3a)/(a^2-36)\cdot(a^2-6a)/(12a)`

Simplify

we have that

a^2-36=(a+6)(a-6)

3a^2+3a=3a(a+1)

a^2-6a=a(a-6)

substitute in the given expression

`(3a(a+1))/((a+6)(a-6))\cdot(a(a-6))/(12a)`

Simplify

`((a+1))/((a+6))\cdot(a)/(4)`

therefore

the answer is

`((a^2+a))/((4a+24))`