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 - Page 304: 41



Work Step by Step

We are given the expression $(z-w)(3z+4w)$. We can find the product of this expression using the FOIL method. First terms: $z\times 3z=3z^{2}$ Outer terms: $z\times4w=4wz$ Inner terms: $-w\times 3z=-3wz$ Last terms: $-w\times4w=-4w^{2}$ Adding together: $3z^{2}+4wz+(-3wz)+(-4w^{2})=3z^{2}+4wz-3wz-4w^{2}=3z^{2}+wz-4w^{2}$
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