Elementary Technical Mathematics

Published by Brooks Cole
ISBN 10: 1285199197
ISBN 13: 978-1-28519-919-1

Chapter 5 - Review - Page 232: 16


$$3x^3+x^2y-3y^3-y. $$

Work Step by Step

We simplify by distributing the negative and combining like terms: $$ \left(x^{3}+2 x^{2} y\right)-\left(3 y^{3}-2 x^{3}+x^{2} y+y\right)=x^3+2x^2y-3y^3+2x^3-x^2y-y\\ =3x^3+x^2y-3y^3-y. $$
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