## Elementary Algebra

Published by Cengage Learning

# Chapter 2 - Real Numbers - 2.4 - Exponents - Problem Set 2.4 - Page 75: 57

#### Answer

$= -2x^{2} + 6y^{2}$

#### Work Step by Step

1. Rewrite the order by grouping like terms next to each other in order to simplify simplification: $7x^{2} - 2y^{2} - 9x^{2} + 8y^{2}$ $= 7x^{2} - 9x^{2} - 2y^{2} + 8y^{2}$ 2. Use the distributive property to simplify $= x^{2}(7 - 9) - y^{2}(2-8)$ $= x^{2}(-2) - y^{2}(-6)$ $= -2x^{2} + 6y^{2}$

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