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: 39

Answer

$20x^{2}+23xy+6y^{2}$

Work Step by Step

We are given the expression $(5x+2y)(4x+3y)$. We can find the product of this expression using the FOIL method. First terms: $5x\times 4x=20x^{2}$ Outer terms: $5x\times3y=15xy$ Inner terms: $2y\times 4x=8xy$ Last terms: $2y\times3y=6y^{2}$ Adding together: $20x^{2}+15xy+8xy+6y^{2}=20x^{2}+23xy+6y^{2}$
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