Q. 62 In the following exercise, add o... [FREE SOLUTION]

91影视

Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 5: Q. 62 (page 499)

In the following exercise, add or subtract the polynomials.
$(x^{3} - 2 x^{2} y) - (x y^{2} - 3 y^{3}) - (x^{2} y - 4 x y^{2})$

Short Answer

Expert verified

Hence,

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

Step by step solution

Step 1. Given information

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

Step 2. Simplify

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

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91影视

In the following exercise, add or subtract the polynomials.
$(x^{3} - 2 x^{2} y) - (x y^{2} - 3 y^{3}) - (x^{2} y - 4 x y^{2})$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify

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91影视

In the following exercise, add or subtract the polynomials.x3-2x2y-xy2-3y3-x2y-4xy2

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Geometry

Discrete Mathematics

Statistics

Theoretical and Mathematical Physics

Applied Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercise, add or subtract the polynomials.
$(x^{3} - 2 x^{2} y) - (x y^{2} - 3 y^{3}) - (x^{2} y - 4 x y^{2})$