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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. 51 (page 498)

In the following exercises, find the difference of the polynomials.
Find the difference of $(w^{2} + w - 42)$ and $(w^{2} - 10 w + 24)$

Short Answer

Expert verified

$Thedifferenceof (w^{2} + w 鈭� 42) and (w^{2} 鈭� 10 w + 24) is 11 w 鈭� 66.$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionsare \\ (w^{2} + w 鈭� 42) and (w^{2} 鈭� 10 w + 24) \\ Wehavetofindthedifference \\ i . e Tofind: (w^{2} + w 鈭� 42) 鈭� (w^{2} 鈭� 10 w + 24) \end{array}$

02

Step 2. Calculating the difference

$\begin{array}{l} 鈬� (w^{2} + w 鈭� 42) 鈭� (w^{2} 鈭� 10 w + 24) \\ = w^{2} + w 鈭� 42 鈭� w^{2} + 10 w 鈭� 24 [Rewritewithoutparentheses] \\ = w^{2} 鈭� w^{2} + w + 10 w 鈭� 42 鈭� 24 [Combinetheliketerms] \\ = 11 w 鈭� 66 [Simplify] \end{array}$

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