## Elementary Technical Mathematics

Published by Brooks Cole

# Chapter 5 - Section 5.3 - Addition and Subtraction of Polynomials - Exercise - Page 221: 36

#### Answer

$$-3x^2+7xy-5y^2+7x-11.$$

#### Work Step by Step

We simplify by adding the $x^2$-terms as follows $$4x^2+x^2-8x^2=-3x^2,$$ adding the $xy$-terms, $$-3xy+9xy+xy=7xy$$ adding the $y^2$-terms, $$-4y^2+y^2-2y^2=-5y^2$$ adding the $x$ terms, $$5x-x+3x=7x$$ adding the $y$ terms, $$-6y+6y=0$$ adding the constant terms, $$-4+3-10=-11$$ The result is $$-3x^2+7xy-5y^2+7x-11.$$

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