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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 27 (page 498)

In the following exercises, add or subtract the monomials.
$5 u^{2} + 4 v^{2} - 6 u^{2} + 12 a + 8 b$

Short Answer

Expert verified

The required result is $5 u^{2} + 4 v^{2} 鈭� 6 u^{2} + 12 a + 8 b = 鈭� u^{2} + 4 v^{2} + 12 a + 8 b$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ 5 u^{2} + 4 v^{2} 鈭� 6 u^{2} + 12 a + 8 b \\ Wehavetoaddorsubtractasapplicable. \end{array}$

02

Step 2. Simplify

$\begin{array}{l} Considerthegivenexpression \\ 鈬� 5 u^{2} + 4 v^{2} 鈭� 6 u^{2} + 12 a + 8 b \\ = 5 u^{2} 鈭� 6 u^{2} + 4 v^{2} + 12 a + 8 b [Combinetheliketerms] \\ = (5 鈭� 6) u^{2} + 4 v^{2} + 12 a + 8 b [Simplify] \\ = 鈭� u^{2} + 4 v^{2} + 12 a + 8 b \end{array}$

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