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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. 49 (page 498)

In the following exercises, subtract the polynomials.
$Subtract (7 w^{2} - 4 w + 2) from (8 w^{2} - w + 6)$

Short Answer

Expert verified

On subtracting $(7 w^{2} 鈭� 4 w + 2) from (8 w^{2} 鈭� w + 6)$ we get $w^{2} + 3 w + 4$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionsare \\ (7 w^{2} 鈭� 4 w + 2) and (8 w^{2} 鈭� w + 6) \\ Wehavetosubtract (7 w^{2} 鈭� 4 w + 2) from (8 w^{2} 鈭� w + 6) \\ i . e Tofind: (8 w^{2} 鈭� w + 6) 鈭� (7 w^{2} 鈭� 4 w + 2) \end{array}$

02

Step 2. Subtract the polynomials

$\begin{array}{l} 鈬� (8 w^{2} 鈭� w + 6) 鈭� (7 w^{2} 鈭� 4 w + 2) \\ = 8 w^{2} 鈭� w + 6 鈭� 7 w^{2} + 4 w 鈭� 2 [Rewritewithoutparentheses] \\ = 8 w^{2} 鈭� 7 w^{2} 鈭� w + 4 w + 6 鈭� 2 [Combinetheliketerms] \\ = w^{2} + 3 w + 4 [Simplify] \end{array}$

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