Answered

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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)

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 class=

Sagot :

we have the expression

[tex]\frac{3a^2+3a}{a^2-36}\cdot\frac{a^2-6a}{12a}[/tex]

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

[tex]\frac{3a(a+1)}{(a+6)(a-6)}\cdot\frac{a(a-6)}{12a}[/tex]

Simplify

[tex]\frac{(a+1)}{(a+6)}\cdot\frac{a}{4}[/tex]

therefore

the answer is

[tex]\frac{(a^2+a)}{(4a+24)}[/tex]

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