College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter R - Section R.3 - Polynomials - R.3 Exercises - Page 29: 53



Work Step by Step

Using the Distributive Property, the product of the given expression, $ (m-n+k)(m+2n-3k) ,$ is \begin{array}{l}\require{cancel} m(m)+m(2n)+m(-3k)-n(m)-n(2n)-n(-3k)+k(m)+k(2n)+k(-3k) \\\\= m^2+2mn-3km-mn-2n^2+3kn+km+2kn-3k^2 \\\\= m^2-2n^2-3k^2+(2mn-mn)+(-3km+km)+(3kn+2kn) \\\\= m^2-2n^2-3k^2+mn-2km+5kn .\end{array}
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