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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. 48 (page 498)

In the following exercises, subtract the polynomials.
$Subtract (5 y^{2} - y + 12) from (10 y^{2} - 8 y - 20)$

Short Answer

Expert verified

On subtracting $(5 y^{2} 鈭� y + 12) from (10 y^{2} 鈭� 8 y 鈭� 20)$ we get $5 y^{2} 鈭� 7 y 鈭� 32$

Step by step solution

01

Step 1. Given information

$\begin{array}{l} Thegivenexpressionsare \\ (5 y^{2} 鈭� y + 12) and (10 y^{2} 鈭� 8 y 鈭� 20) \\ Wehavetosubtract (5 y^{2} 鈭� y + 12) from (10 y^{2} 鈭� 8 y 鈭� 20) \\ i . e Tofind: (10 y^{2} 鈭� 8 y 鈭� 20) 鈭� (5 y^{2} 鈭� y + 12) \end{array}$

02

Step 2. Subtract the polynomials

$\begin{array}{l} 鈬� (10 y^{2} 鈭� 8 y 鈭� 20) 鈭� (5 y^{2} 鈭� y + 12) \\ = 10 y^{2} 鈭� 8 y 鈭� 20 鈭� 5 y^{2} + y 鈭� 12 [Rewritewithoutparentheses] \\ = 10 y^{2} 鈭� 5 y^{2} 鈭� 8 y + y 鈭� 20 鈭� 12 [Combinetheliketerms] \\ = 5 y^{2} 鈭� 7 y 鈭� 32 [Simplify] \end{array}$

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Most popular questions from this chapter

Use synthetic division to find the quotient and remainder.

$x^{3} - 6 x^{2} + 5 x + 14$ is divided by $x + 1$

Simplify ${(\frac{j^{- 2} j^{5}}{j^{4}})}^{3}$

Simplify

(a) ${(2 r^{- 2})}^{3} {(4^{- 1} r)}^{2}$ (b) ${(3 x^{- 3})}^{3} {(3^{- 1} x^{5})}^{4}$

In the following exercises, multiply the binomials using a) the Distributive Property; b) the FOIL method; c) the Vertical Method

$(4 p + 11) (5 p - 4)$

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

$(7 w + 10 x) (7 w - 10 x)$

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