Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 5 - Section 5.5 - Multiplying Polynomials - Exercise Set: 74

Answer

$(y^{3}-3y^{2}+3y-1)$ meters

Work Step by Step

Step 1: Volume of a cube = $L^{3}$, where L is the length of one side. Step 2: Since $L=(y-1)$ meters, Volume= $(y-1)^{3}=(y-1)(y-1)^{2}.$ Step 3: Simplifying, $(y-1)(y^{2}-2y+1)$ Step 4: $y(y^{2}-2y+1)-1(y^{2}-2y+1)$ Step 5: $y^{3}-2y^{2}+y-y^{2}+2y-1$ Step 6: $y^{3}-3y^{2}+3y-1$ Step 7: Therefore, the volume is $(y^{3}-3y^{2}+3y-1)$ meters.
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