Question

Simplify each rational expression. If the rational expression cannot be simplified, so state. $\frac{4-6 x}{3 x^2-2 x}$ 

   Simplify each rational expression. If the rational expression cannot be simplified, so state.
$\frac{4-6 x}{3 x^2-2 x}$
Introductory & Intermediate Algebra for College Students
Introductory & Intermediate Algebra for College Students
Robert F. Blitzer 4th Edition
Chapter 7, Problem 67 ↓
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Simplify each rational expression. If the rational expression cannot be simplified, so state. $\frac{4-6 x}{3 x^2-2 x}$
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Simplify. $$\frac{4-6 x}{3 x^{2}-2 x}$$
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Transcript

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00:01 In order to simplify this rational expression, the first thing we're going to have to do is factor it.
00:07 So on the numerator, the gcf of 4 and 6x is 2.
00:14 So i'm going to factor a 2 out, and that will leave me 2 minus 3x.
00:21 Then on the denominator, i'm going to do the same.
00:24 My gcf is going to be x, and that leaves me 3x minus 2.
00:34 Oh, so when i first look at this, it seems like i can't do anything.
00:38 I don't have any common factors.
00:40 But remember the trick...
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