Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 5 - Exponents and Polynomials - 5.3 - Multiplying Polynomials - Problem Set 5.3 - Page 208: 113

Answer

$x^{3}$ + 6$x^{2}$ + 12x + 8

Work Step by Step

$(x + 2)^{3}$ = (x + 2)(x + 2)(x + 2) = Remember that $(a+b)^{2}$ = $a^{2}$ + 2ab + $b^{2}$. So, (x + 2)(x + 2)(x + 2) = ($x^{2}$ + 2$\times$x$\times$2 + $2^{2}$)(x + 2) = ($x^{2}$ + 4x + 4)(x + 2) = Use the distributive property. $x^{2}$(x) +$x^{2}$(2) +4x(x) +4x(2) +4(x) +4(2) = $x^{3}$ + 2$x^{2}$ + 4$x^{2}$ + 8x + 4x + 8= Simplify. $x^{3}$ + 6$x^{2}$ + 12x + 8
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.