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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. 11 (page 497)

In the following exercises, add or subtract the monomials.
$\begin{array}{l} (a) 鈭� 12 w + 18 w \\ (b) 7 x^{2} y 鈭� (鈭� 12 x^{2} y) \end{array}$

Short Answer

Expert verified

The result is

\begin{array}{l} a) 6 w \\ b) 19 x^{2} y \end{array}

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionsare \\ (a) 鈭� 12 w + 18 w \\ (b) 7 x^{2} y 鈭� (鈭� 12 x^{2} y) \\ Wehavetoaddorsubtractthegivenexpressionsasapplicable. \end{array}$

02

Step 2. Solving part (a)

$\begin{array}{l} Considerthegivenexpression \\ 鈬� 鈭� 12 w + 18 w = (鈭� 12 + 18) w \\ = 6 w \end{array}$

03

Step 2. Solving part (a)

$\begin{array}{l} Considerthegivenexpression \\ 鈬� 7 x^{2} y 鈭� (鈭� 12 x^{2} y) = 7 x^{2} y + 12 x^{2} y \\ = (7 + 12) x^{2} y \\ = 19 x^{2} y \end{array}$

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