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: 54

Answer

$-10x^{2}-5x^{2}y$

Work Step by Step

We are asked to subtract $(13x^{2}+x^{2}y-\frac{1}{4})$ from $(3x^{2}-4x^{2}y-\frac{1}{4})$. This is equivalent to $(3x^{2}-4x^{2}y-\frac{1}{4})-(13x^{2}+x^{2}y-\frac{1}{4})$. To subtract two polynomials, we can add the opposite of the second polynomial to the first polynomial. $(3x^{2}-4x^{2}y-\frac{1}{4})+(-13x^{2}-x^{2}y+\frac{1}{4})$ Next, we can combine like terms. $(3x^{2}-13x^{2})+(-4x^{2}y-x^{2}y)+(-\frac{1}{4}+\frac{1}{4})=-10x^{2}-5x^{2}y$
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