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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. 5.5 (page 490)

$Add: (a) 8 y^{2} + 3 z^{2} - 3 y^{2} (b) m^{2} n^{2} - 8 m^{2} + 4 n^{2} .$

Short Answer

Expert verified

The result will be

$\begin{array}{l} a) 5 y^{2} + 3 z^{2} \\ b) m^{2} n^{2} 鈭� 8 m^{2} + 4 n^{2} \end{array}$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenpolynomialsare \\ (a) 8 y^{2} + 3 z^{2} 鈭� 3 y^{2} (b) m^{2} n^{2} 鈭� 8 m^{2} + 4 n^{2} . \\ Wehavetoaddtheterms \end{array}$

02

Step 2. Solve part (a)

$\begin{array}{l} Wehave(a) 8 y^{2} + 3 z^{2} 鈭� 3 y^{2} . \\ Combinetheliketerms \\ 鈬� 8 y^{2} + 3 z^{2} 鈭� 3 y^{2} = (8 鈭� 3) y^{2} + 3 z^{3} \\ = 5 y^{2} + 3 z^{3} \end{array}$

03

Step 3. Solve part (b)

$\begin{array}{l} Wehave(b) m^{2} n^{2} 鈭� 8 m^{2} + 4 n^{2} . \\ Combinetheliketerms \\ 鈬� m^{2} n^{2} 鈭� 8 m^{2} + 4 n^{2} = m^{2} n^{2} 鈭� 8 m^{2} + 4 n^{2} [Therearenoliketerms] \end{array}$

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