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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. 5.3 (page 490)

Add or subtract: $(a) 12 q^{2} + 9 q^{2} (b) 8 m n^{3} - (- 5 m n^{3}) .$

Short Answer

Expert verified

The result is

$\begin{array}{l} a) 21 q^{2} \\ b) 13 m n^{3} \end{array}$

Step by step solution

01

Step 1. Given information

The given polynomials are

$(a) 12 q^{2} + 9 q^{2} (b) 8 m n^{3} - (- 5 m n^{3}) .$

We have to add or subtract the terms as applicable

02

Step 2. Solve part (a)

$\begin{array}{l} Wehave(a) 12 q^{2} + 9 q^{2} \\ Combinetheliketerms \\ 鈬� 12 q^{2} + 9 q^{2} = (12 + 9) q^{2} \\ = 21 q^{2} \end{array}$

03

Step 3. Solve part (b)

$\begin{array}{l} Wehave(b) 8 m n^{3} 鈭� (鈭� 5 m n^{3}) . \\ Combinetheliketerms \\ 鈬� 8 m n^{3} 鈭� (鈭� 5 m n^{3}) = (8 + 5) m n^{3} \\ = 13 m n^{3} \end{array}$

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