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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. 24 (page 498)

In the following exercises, add or subtract the monomials.
$12 a + 5 b - 22 a + p q^{2} - 4 p - 3 q^{2}$

Short Answer

Expert verified

The required result is $12 a + 5 b 鈭� 22 a + p q^{2} 鈭� 4 p 鈭� 3 q^{2} = 鈭� 10 a + 5 b + p q^{2} 鈭� 4 p 鈭� 3 q^{2}$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ 12 a + 5 b 鈭� 22 a + p q^{2} 鈭� 4 p 鈭� 3 q^{2} \\ Wehavetoaddorsubtractasapplicable. \end{array}$

02

Step 2. Simplify

$\begin{array}{l} Considerthegivenexpression \\ 鈬� 12 a + 5 b 鈭� 22 a + p q^{2} 鈭� 4 p 鈭� 3 q^{2} \\ = 12 a 鈭� 22 a + 5 b + p q^{2} 鈭� 4 p 鈭� 3 q^{2} [Combinetheliketerms] \\ = (12 鈭� 22) a + 5 b + p q^{2} 鈭� 4 p 鈭� 3 q^{2} [Simplify] \\ = 鈭� 10 a + 5 b + p q^{2} 鈭� 4 p 鈭� 3 q^{2} \end{array}$

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