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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. 18 (page 497)

In the following exercises, add or subtract the monomials.
$\begin{array}{l} (a) 鈭� 10 x 鈭� 35 x \\ (b) 17 m n^{2} 鈭� (鈭� 9 m n^{2}) + 3 m n^{2} \end{array}$

Short Answer

Expert verified

The required result is

$\begin{array}{l} a) 鈭� 45 x \\ b) 29 m n^{2} \end{array}$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ (a) 鈭� 10 x 鈭� 35 x \\ (b) 17 m n^{2} 鈭� (鈭� 9 m n^{2}) + 3 m n^{2} \\ Wehavetoaddorsubtractasapplicable. \end{array}$

02

Step 2. Solving part (a)

$\begin{array}{l} Considerthegivenexpression \\ 鈬� 鈭� 10 x 鈭� 35 x = (鈭� 10 鈭� 35) x \\ = 鈭� 45 x \end{array}$

03

Step 3. Solving part (b)

$\begin{array}{l} Considerthegivenexpression \\ 鈬� 17 m n^{2} 鈭� (鈭� 9 m n^{2}) + 3 m n^{2} = 17 m n^{2} + 9 m n^{2} + 3 m n^{2} \\ = (17 + 9 + 3) m n^{2} \\ = 29 m n^{2} \end{array}$

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