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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. 47 (page 498)

In the following exercises, subtract the polynomials.
$Subtract (9 x^{2} + 2) from (12 x^{2} - x + 6)$

Short Answer

Expert verified

On subtracting $(9 x^{2} + 2) from (12 x^{2} 鈭� x + 6)$ we get $3 x^{2} 鈭� x + 4$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionsare \\ (9 x^{2} + 2) and (12 x^{2} 鈭� x + 6) \\ Wehavetosubtract (9 x^{2} + 2) from (12 x^{2} 鈭� x + 6) \\ i . e Tofind: (12 x^{2} 鈭� x + 6) 鈭� (9 x^{2} + 2) \end{array}$

02

Step 2. Subtract the polynomials

$\begin{array}{l} 鈬� (12 x^{2} 鈭� x + 6) 鈭� (9 x^{2} + 2) \\ = 12 x^{2} 鈭� x + 6 鈭� 9 x^{2} 鈭� 2 [Rewritewithoutparentheses] \\ = 12 x^{2} 鈭� 9 x^{2} 鈭� x + 6 鈭� 2 [Combinetheliketerms] \\ = 3 x^{2} 鈭� x + 4 [Simplify] \end{array}$

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Most popular questions from this chapter

Explain why $- 5^{3} = (- 5)^{3}$ but $- 5^{4} 鈮� (- 5)^{4}$

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