Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 4 - Section 4.4 - Multiplying Polynomials - 4.4 Exercises: 7

Answer

$-28x^{7}y^{4}$

Work Step by Step

We are given the expression $14x^{2}y^{3}(-2x^{5}y)$. We can group like terms and then simplify. $14\times-2\times x^{2} \times x^{5}\times y^{3}\times y$ Next, we can use the product rule for exponents to multiply the exponents. $-28\times x^{2+5}\times y^{3+1}=-28x^{7}y^{4}$
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