Simplify ((a^3+4a)/(a^2-16))/((a^2+8a+15)/(a^2+a-20))

[evan399]

Simplify ((a^3+4a)/(a^2-16))/((a^2+8a+15)/(a^2+a-20))

 

[Deleted member 4993]

Re: Simplify

((a^3+4a)/(a^2-16))/((a^2+8a+15)/(a^2+a-20))

Please show your work - and indicate exactly where you are stuck.

To start off - factorize the terms and cancel out common terms - if possible.

 

[Loren]

((a^3+4a)/(a^2-16))/((a^2+8a+15)/(a^2+a-20)) =

\(\displaystyle \frac{a^3+4a}{a^2-16}\times \frac{a^2+a-20}{a^2+8a+15}\)

Now, factor and simplify.

 

[evan399]

Is the answer

(a(a^2+4))/((a+4)(a+3))

 

[stapel]

That's what I'm getting.

Eliz.

 

[evan399]

thank you!!