Q. 59 In the following exercises, add ... [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. 59 (page 499)

In the following exercises, add or subtract the polynomials.

Short Answer

Expert verified

Hence,

$(p^{3} 鈭� 3 p^{2} q) + (2 p q^{2} + 4 q^{3}) 鈭� (3 p^{2} q + p q^{2}) = 5 p^{3} 鈭� 6 p^{2} q + p q^{2}$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenexpressionsis \\ (p^{3} 鈭� 3 p^{2} q) + (2 p q^{2} + 4 q^{3}) 鈭� (3 p^{2} q + p q^{2}) \\ Wehavetoaddorsubtractthepolynomialsasapplicable. \end{array}$

Step 2. Simplify

$\begin{array}{l} 鈬� (p^{3} 鈭� 3 p^{2} q) + (2 p q^{2} + 4 q^{3}) 鈭� (3 p^{2} q + p q^{2}) \\ = p^{3} 鈭� 3 p^{2} q + 2 p q^{2} + 4 q^{3} 鈭� 3 p^{2} q 鈭� p q^{2} [Rewritewithoutparentheses] \\ = p^{3} + 4 q^{3} 鈭� 3 p^{2} q 鈭� 3 p^{2} q + 2 p q^{2} 鈭� p q^{2} [Combinetheliketerms] \\ = 5 p^{3} 鈭� 6 p^{2} q + p q^{2} [Simplify] \end{array}$

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91影视

In the following exercises, add or subtract the polynomials.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify

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