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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. 54 (page 498)

In the following exercises, add the polynomials.
$(- 5 x^{2} - 4 x y - 3 y^{2}) + (2 x^{2} - 7 x y)$

Short Answer

Expert verified

Hence,

$(鈭� 5 x^{2} 鈭� 4 x y 鈭� 3 y^{2}) + (2 x^{2} 鈭� 7 x y) = 鈭� 3 x^{2} 鈭� 11 x y 鈭� 3 y^{2}$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionsis \\ (鈭� 5 x^{2} 鈭� 4 x y 鈭� 3 y^{2}) + (2 x^{2} 鈭� 7 x y) \\ Wehavetofindthesum. \end{array}$

02

Step 2. Add the polynomials

$\begin{array}{l} 鈬� (鈭� 5 x^{2} 鈭� 4 x y 鈭� 3 y^{2}) + (2 x^{2} 鈭� 7 x y) \\ = 鈭� 5 x^{2} 鈭� 4 x y 鈭� 3 y^{2} + 2 x^{2} 鈭� 7 x y [Rewritewithoutparentheses] \\ = 鈭� 5 x^{2} + 2 x^{2} 鈭� 4 x y 鈭� 7 x y 鈭� 3 y^{2} [Combinetheliketerms] \\ = 鈭� 3 x^{2} 鈭� 11 x y 鈭� 3 y^{2} [Simplify] \end{array}$

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