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 360: 96

Answer

$16x^{5}+26x^{3}-9x^{2}$

Work Step by Step

$3x^{2}(6x^{3}+2x-3)=(3x^{2})(6x^{3}) +(3x^{2})(2x)+(3x^{2})(-3)$ $=18x^{5}+6x^{3}-9x^{2}\qquad$ ... $(*)$ $-4x^{3}(x^{2}-5)=-4x^{3}(x^{2})-4x^{3}(-5)$ $=-4x^{5}+20x^{3}\qquad(**)$ Combine like terms of (*) and (**) Problem=$(20x^{5}-4x^{5})+(6x^{3}+20x^{3})-9x^{2}$ =$16x^{5}+26x^{3}-9x^{2}$
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