College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.5 - Polynomials - R.4 Assess Your Understanding: 89

Answer

$8x^3+12x^2+6x+1$

Work Step by Step

RECALL: The formula for the cube of a binomial $a+b$ is $(a+b)^3=a^3+3a^2b+3ab^2+b^3$ Use the formula above with $a=2x$ and $b=1$ to obtain: $(2x+1)^3 \\= (2x)^3 + 3(2x)^2(1) + 3(2x)(1^2) + 1^3 \\=8x^3 + 3(4x^2)+6x+1 \\=8x^3+12x^2+6x+1$
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