Q. 5.15 聽Simplify:聽x3-x2y-xy2+y3+x2y+x... [FREE SOLUTION]

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Intermediate Algebra

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$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 5.15 (page 492)

$Simplify: (x^{3} - x^{2} y) - (x y^{2} + y^{3}) + (x^{2} y + x y^{2})$

Short Answer

Expert verified

The simplified form of the given expression is $x^{3} - y^{3}$ .

Step by step solution

Step 1. Given information

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

Step 2. Distribute and identify like terms

$\begin{array}{l} Wehave (x^{3} 鈭� x^{2} y) 鈭� (x y^{2} + y^{3}) + (x^{2} y + x y^{2}) \\ Distribute \\ 鈬� (x^{3} 鈭� x^{2} y) 鈭� (x y^{2} + y^{3}) + (x^{2} y + x y^{2}) = x^{3} 鈭� x^{2} y 鈭� x y^{2} 鈭� y^{3} + x^{2} y + x y^{2} \\ Identifyliketerms \\ = x^{3} 鈭� \underset{炉}{x^{2} y} 鈭� \underset{炉}{\underset{炉}{x y^{2}}} 鈭� y^{3} + \underset{炉}{x^{2} y} + \underset{炉}{\underset{炉}{x y^{2}}} \\ Rearrangetheterms \\ = x^{3} 鈭� y^{3} 鈭� \underset{炉}{x^{2} y} + \underset{炉}{x^{2} y} 鈭� \underset{炉}{\underset{炉}{x y^{2}}} + \underset{炉}{\underset{炉}{x y^{2}}} \\ = x^{3} 鈭� y^{3} \end{array}$

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91影视

$Simplify: (x^{3} - x^{2} y) - (x y^{2} + y^{3}) + (x^{2} y + x y^{2})$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Distribute and identify like terms

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91影视

Simplify:x3-x2y-xy2+y3+x2y+xy2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Distribute and identify like terms

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Mechanics Maths

Geometry

Statistics

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

$Simplify: (x^{3} - x^{2} y) - (x y^{2} + y^{3}) + (x^{2} y + x y^{2})$