Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 4 - Polynomials - Review Exercises: Chapter 4: 67

Answer

$2x^2-xy-15y^2$

Work Step by Step

RECALL: $(a+b)(c+d)=ac+ad+bc+bd$ (popularly known as the FOIL method) Use the FOIL method to obtain: $(2x+5y)(x-3y) \\=2x(x)+(2x)(-3y)+5y(x)+5y(-3y) \\=2x^2+(-6xy)+5xy+(-15y^2) \\=2x^2-6xy+5xy-15y^2$ Combine like terms to obtain: $=2x^2-xy-15y^2$
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