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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. 12 (page 497)

In the following exercises, add or subtract the monomials.
$(a) - 3 m + 9 m (b) 15 y z^{2} - (- 8 y z^{2})$

Short Answer

Expert verified

The result on solving is

$\begin{array}{l} a) 6 m \\ b) 23 y z^{2} \end{array}$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionsare \\ (a) 鈭� 3 m + 9 m \\ (b) 15 y z^{2} 鈭� (鈭� 8 y z^{2}) \\ Wehavetoaddorsubtractthegivenexpressionsasapplicable. \end{array}$

02

Step 2. Solving part (a)

$\begin{array}{l} Considerthegivenexpression \\ 鈬� 鈭� 3 m + 9 m = (鈭� 3 + 9) m \\ = 6 m \end{array}$

03

Step 3. Solving part (b)

$\begin{array}{l} Considerthegivenexpression \\ 鈬� 15 y z^{2} 鈭� (鈭� 8 y z^{2}) = 15 y z^{2} + 8 y z^{2} \\ = (15 + 8) y z^{2} \\ = 23 y z^{2} \end{array}$

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