Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 8 - Polynomials and Factoring - 8-3 Multiplying Binomials - Practice and Problem-Solving Exercises - Page 502: 46


The answer is $n^{3}$ + $15n^{2}$ + $56n$.

Work Step by Step

When you insert V=lwh, you get V= (n)(n+7)(n+8). When you simplify (n+7)(n+8), you get $n^{2}$ + $15n$ + $56$. Lastly, you multiply the whole polynomial by n, which results in the answer $n^{3}$ + $15n^{2}$ + $56n$.
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