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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. 44 (page 498)

In the following exercises, subtract the polynomials.
$(b^{2} - 7 b + 5) - (b^{2} - 2 b + 9)$

Short Answer

Expert verified

The result of subtracting the polynomials is $鈭� 5 b 鈭� 4$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionis \\ (b^{2} 鈭� 7 b + 5) 鈭� (b^{2} 鈭� 2 b + 9) \\ Wehavetosubtractthepolynomials. \end{array}$

02

Step 2. Subtract the polynomials

$\begin{array}{l} 鈬� (b^{2} 鈭� 7 b + 5) 鈭� (b^{2} 鈭� 2 b + 9) \\ = b^{2} 鈭� 7 b + 5 鈭� b^{2} + 2 b 鈭� 9 [Rewritewithouttheparenthese] \\ = b^{2} 鈭� b^{2} 鈭� 7 b + 2 b + 5 鈭� 9 [Combinetheliketerms] \\ = 0 鈭� 5 b 鈭� 4 \\ = 鈭� 5 b 鈭� 4 \end{array}$

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Most popular questions from this chapter

Multiply each pair of conjugates using the product of the conjugates pattern.

$(15 m^{2} - 8 n^{4}) (15 m^{2} + 8 n^{4})$

In the following exercises, multiply the binomials. Use any method.

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(b) $(\frac{2}{3} r^{5} s) (12 r^{6} s^{7})$

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$Find the difference: (8 x^{2} + 3 x - 19) - (7 x^{2} - 14)$

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