Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 5 - Section 5.2 - Multiplying Polynomials - Exercise Set - Page 359: 88

Answer

$27y^{5}+24y^{4}-20y^{3}+25y^{2}$

Work Step by Step

$ \begin{array}{lllllll} & & & & 9y^{3} & -7y^{2} & +5y\\ & & & & & 3y^{2} & +5y\\ & & & & -- & -- & --\\ & & & & 45y^{4} & -35y^{3} & +25y^{2}\\ & & & 27y^{5} & -21y^{4} & +15y^{3} & \\ \hline & & & & & & \\ & & & 27y^{5} & +24y^{4} & -20y^{3} & +25y^{2} \end{array} \qquad \begin{array}{l} .\\ .\\ .\\ \leftarrow 5y(9y^{3}-7y^{2}+5y)\\ \leftarrow 3y^{2}(9y^{3}-7y^{2}+5y)\\ \\ \leftarrow\text{combine } \end{array}$
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