Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 5 - Section 5.3 - Polynomials and Polynomial Functions - Exercise Set: 52

Answer

$-5x^{2}+12xy+4y^{2}$

Work Step by Step

We are given $(3x^{2}+6xy+3y^{2})-(8x^{2}-6xy-y^{2})$. To subtract two polynomials, we can add the opposite of the second polynomial to the first polynomial. $(3x^{2}+6xy+3y^{2})+(-8x^{2}+6xy+y^{2})$ Next, we can combine like terms. $(3x^{2}-8x^{2})+(6xy+6xy)+(3y^{2}+y^{2})=-5x^{2}+12xy+4y^{2}$
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