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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. 5.14 (page 492)

$Find the sum: (2 x^{2} - 3 x y - 2 y^{2}) + (5 x^{2} - 3 x y)$

Short Answer

Expert verified

The sum of the given polynomials is $7 x^{2} 鈭� 6 x y 鈭� 2 y^{2}$

Step by step solution

01

Step 1. Given information

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

02

Step 2. Distribute and identify like terms

$\begin{array}{l} Wehave (2 x^{2} 鈭� 3 x y 鈭� 2 y^{2}) + (5 x^{2} 鈭� 3 x y) \\ Distributeandidentifyliketermsandthenrearrangetheterms \\ 鈬� (2 x^{2} 鈭� 3 x y 鈭� 2 y^{2}) + (5 x^{2} 鈭� 3 x y) = \underset{炉}{2 x^{2}} 鈭� \underset{炉}{\underset{炉}{3 x y}} 鈭� 2 y^{2} + \underset{炉}{5 x^{2}} 鈭� \underset{炉}{\underset{炉}{3 x y}} \\ = (2 + 5) x^{2} + (鈭� 3 鈭� 3) x y 鈭� 2 y^{2} \\ = 7 x^{2} 鈭� 6 x y 鈭� 2 y^{2} \end{array}$

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Most popular questions from this chapter

Multiply each pair of conjugates using the product of the conjugates pattern.

$(p + \frac{4}{5} q) (p - \frac{4}{5} q)$

In the following exercises , simplify the expression $(j^{2} 鈭� 8 j 鈭� 27) 鈭� (j^{2} + 2 j 鈭� 12)$ .

Multiply (a) $(3.5 脳 10^{- 4}) (1.6 脳 10^{- 2})$ to get answer in decimal form

Divide (b) $\frac{8 脳 10^{6}}{4 脳 10^{- 1}}$ to get answer in decimal form

In the following exercises , simplify the expression $(4 a^{3} b) (9 a^{2} b^{6})$ .

Solve the square using the binomial squares pattern.

${(\frac{1}{8} x - \frac{1}{9} y)}^{2}$

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