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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. 42 (page 498)

In the following exercises, subtract the polynomials.
$(3 b^{2} - 4 b + 1) - (5 b^{2} - b - 2)$

Short Answer

Expert verified

The result of subtracting the polynomials is $鈭� 2 b^{2} 鈭� 3 b + 3$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ (3 b^{2} 鈭� 4 b + 1) 鈭� (5 b^{2} 鈭� b 鈭� 2) \\ Wehavetosubtractthepolynomials. \end{array}$

02

Step 2. Subtract the polynomials

$\begin{array}{l} 鈬� (3 b^{2} 鈭� 4 b + 1) 鈭� (5 b^{2} 鈭� b 鈭� 2) \\ = 3 b^{2} 鈭� 4 b + 1 鈭� 5 b^{2} + b + 2 [Rewritewithouttheparenthese] \\ = 3 b^{2} 鈭� 5 b^{2} 鈭� 4 b + b + 1 + 2 [Combinetheliketerms] \\ = 鈭� 2 b^{2} 鈭� 3 b + 3 \end{array}$

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