Answer
V=$n^{3}$+$15n^{2}$+56n
Work Step by Step
Substitute the dimensions of the formula:
V=n(n+7)(n+8)
Use FOIL on (n+7)(n+8):
V=n[(n)(n)+(n)(8)+(7)(n)+(7)(8)]
V=n[$n^{2}$+8n+7n+56]
V=n[$n^{2}$+15n+56]
Distribute n:
V=$n^{3}$+$15n^{2}$+56n
Algebra 1
by Hall, Prentice
Published by
Prentice Hall
ISBN 10:
0133500403
ISBN 13:
978-0-13350-040-0
Chapter 8 - Polynomials and Factoring - 8-3 Multiplying Binomials - Practice and Problem-Solving Exercises - Page 490: 46
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