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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. 55 (page 498)

In the following exercises, add the polynomials.
$(7 m^{2} + m n - 8 n^{2}) + (3 m^{2} + 2 m n)$

Short Answer

Expert verified

Hence,

$(7 m^{2} + m n 鈭� 8 n^{2}) + (3 m^{2} + 2 m n) = 10 m^{2} + 3 m n 鈭� 8 n^{2}$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionsis \\ (7 m^{2} + m n 鈭� 8 n^{2}) + (3 m^{2} + 2 m n) \\ Wehavetofindthesumofthepolynomials. \end{array}$

02

Step 2. Add the polynomials

$\begin{array}{l} 鈬� (7 m^{2} + m n 鈭� 8 n^{2}) + (3 m^{2} + 2 m n) \\ = 7 m^{2} + m n 鈭� 8 n^{2} + 3 m^{2} + 2 m n [Rewritewithoutparentheses] \\ = 7 m^{2} + 3 m^{2} + m n + 2 m n 鈭� 8 n^{2} [Combinetheliketerms] \\ = 10 m^{2} + 3 m n 鈭� 8 n^{2} [Simplify] \end{array}$

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