Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 5 Polynomials and Polynomial Functions - 5.3 Add, Subtract, and Multiply Polynomials - Guided Practice for Examples 3, 4 and 5 - Page 348: 5



Work Step by Step

We essentially use the FOIL method twice (although the second time is not exactly the FOIL method but along those lines): $(xy-4)^3=(xy-4)(xy-4)(xy-4)=(x^2y^2-4xy-4xy+16)(xy-4)=(x^2y^2-8xy+16)(xy-4)=x^3y^3-8x^2y^2+16xy-4x^2y^2+32xy-64=x^3y^3-12x^2y^2+48xy+-4$
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