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: 28

Answer

$-6xy^{3}+5x^{2}y^{2}-x^{3}y+5x^{4}$

Work Step by Step

$-x(6y^{3}-5xy^{2}+x^{2}y-5x^{3})=(-x)(6y^{3})+(-x)(-5xy^{2})+(-x)(x^{2}y)+(-x)(-5x^{3})=(-6xy^{3})+5x^{1+1}y^{2}+(-x^{1+2}y)+5x^{1+3}=(-6xy^{3})+5x^{2}y^{2}+(-x^{3}y)+5x^{4}=-6xy^{3}+5x^{2}y^{2}-x^{3}y+5x^{4}$
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