Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.4 - Multiplying Polynomials - Exercise Set - Page 289: 47



Work Step by Step

$(x-2)^4\longrightarrow$ Rewrite as squared binomials. $(x-2)^2(x-2)^2\longrightarrow$ Multiply using FOIL method $[x^2-4x+4][x^2-4x+4]\longrightarrow$ Regroup to create squared binomial $[(x^2-4x)+4]^2\longrightarrow$ Multiply using FOIL method $(x^2-4x)^2+2(4(x^2-4x)+16\longrightarrow$ Multiply the squared binomial using FOIL method. Apply distributive method. $x^4-8x^3+16x^2+8x^2-32x+16\longrightarrow$ Combine like terms. $x^4-8x^3+24x^2-32x+16$
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