SOLUTION: (a^3+27)/(4a^2-36)

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Question 102441This question is from textbook Intermediate Algebra
: (a^3+27)/(4a^2-36) This question is from textbook Intermediate Algebra

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%28a%5E3%2B27%29%2F%284a%5E2-36%29
:
The numerator can be factored as the "Sum of Cubes"
The denominator can be factored as the "difference of squares"
%28%28a+%2B+3%29%28a%5E2+-+3a+%2B+9%29%29%2F%28%282a+-+6%29%282a+%2B+6%29%29
:
Factor out the 2:
%28%28a+%2B+3%29%28a%5E2+-+3a+%2B+9%29%29%2F%282%28a+-+3%29%2A2%28a+%2B+3%29%29
:
Cancel out (a+3)'s
%28%28a%5E2+-+3a+%2B+9%29%29%2F%284%28a+-+3%29%29