SOLUTION: Use the operation of simplify {{{(a/2 - 2/3)(a^2/4 + a/3 + 4/9)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Use the operation of simplify {{{(a/2 - 2/3)(a^2/4 + a/3 + 4/9)}}}      Log On


   

Question 626866: Use the operation of simplify
%28a%2F2+-+2%2F3%29%28a%5E2%2F4+%2B+a%2F3+%2B+4%2F9%29
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Use Special Products and factoring: %28x-y%29%28x%5E2%2Bxy%2By%5E2%29+=+x%5E3+-+y%5E3
let x = a%2F2 and y = 2%2F3
%28a%2F2+-+2%2F3%29%28a%5E2%2F4+%2B+a%2F3+%2B+4%2F9%29 = %28a%2F2%29%5E3+-+%282%2F3%29%5E3+
= highlight%28a%5E3%2F8+-+8%2F27%29