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Intermediate Algebra

OPENSTAX

$Math Studyset 91影视 Explanations$ Math

OER 2017 Edition 路 1346 pages

ISBN: 9780998625720

Chapter 7: Q. 392 (page 737)

Divide the rational expression $\frac{3 y^{2} - 12 y - 63}{4 y + 3} 梅 (6 y^{2} - 42 y)$

Short Answer

Expert verified

The value of the expression is $\frac{7}{2} .$

Step by step solution

01

Step 1. Given Information

Given that the expression is $\frac{3 y^{2} - 12 y - 63}{4 y + 3} 梅 (6 y^{2} - 42 y)$ and taken as $\frac{y^{2} - 8}{y^{2} - y - 2} .$

02

Step 2. Simplification

It can be simplified as,

$\frac{y^{2} - 8}{y^{2} - y - 2}, y = 1 = \frac{{(1)}^{2} - 8}{{(1)}^{2} - 1 - 2} = \frac{- 7}{- 2} = \frac{7}{2}$

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