Answer
$8x^3+12x^2+6x+1$
Work Step by Step
Use the formula $(a+b)^3 = a^3 + 3a^2b+3ab^2+b^3$ with $a=2x$ and $b=1$ to obtain:
$(2x+1)^3
\\=(2x)^3 + 3(2x)^2(1) + 3(2x)(1^2) + 1^3
\\=8x^3+3(4x^2) + 6x(1)+1
\\=8x^3+12x^2+6x+1$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter P, Prerequisites - Chapter P Review - Exercises - Page 77: 74
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