SOLUTION: Perform the multiplication. Simplify the answer, if possible. a^2 + ab + b^2 / a^3 - b^3 multiplied by ac + ad - bc - bd / c^2 - d^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Perform the multiplication. Simplify the answer, if possible. a^2 + ab + b^2 / a^3 - b^3 multiplied by ac + ad - bc - bd / c^2 - d^2      Log On


   



Question 1130939: Perform the multiplication. Simplify the answer, if possible.
a^2 + ab + b^2 / a^3 - b^3 multiplied by ac + ad - bc - bd / c^2 - d^2

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Perform the multiplication. Simplify the answer, if possible.
a^2 + ab + b^2 / a^3 - b^3 multiplied by ac + ad - bc - bd / c^2 - d^2
:

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Factor the difference of cubes & difference of squares

:
cancel a^2+ab+b^2, group factor
%281%2F%28a-b%29%29%2A%28%28a%28c+%2B+d%29+-+b%28c+%2B+d%29%29%2F%28c-d%29%28c%2Bd%29%29%29
:
factor out (c+d)
%281%2F%28a-b%29%29%2A%28%28a-b%29%28c%2Bd%29%2F%28c-d%29%28c%2Bd%29%29
Cancel (a-b) and (c+d)
1%2F%28%28c-d%29%29