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 - Page 49: 88


$x^3 + 3x^2+3x+1$

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 $a=x$ and $b=1$ to obtain: $(x+1)^3 \\= x^3 + 3(x^2)(1) + 3(x)(1^2) + 1^3 \\x^3 + 3x^2+3x+1$
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