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In $3-20$ , perform the indicated additions or subtractions and write the result in simplest form. In each case, list any values of the variables for which the fractions are not defined.$$\frac{1}{a^{2}-a-6}-\frac{1}{2 a^{2}-7 a+3}$$

$\frac{1}{(a+2)(2 a-1)}, a=3, a=-2, a=\frac{1}{2}$

Algebra

Chapter 2

THE RATIONAL NUMBERS

Section 4

Adding and Subtracting Rational Expressions

Fractions and Mixed Numbers

Decimals

Equations and Inequalities

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In $3-20$ , perform the in…

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it was simplified while wearing expression. This is 18. We have one over a squared minus a minus six. We're going to subtract one over to a square in a seven A. That's three. We're gonna first factor out each denominator. So this one turns out to be a minus. Hey, plus two, 2nd 1 it is going to be a minus three, thanks to a I mean this morning. Now we can create adopts nominators. Um, you'd have to be the same. This is going to change, too, to a minus one from the top to a minus. One times a minus. Three times a plus two. We're going to subtract. We're gonna multiply the second run by a plus two. And that's gonna end up being now to a minus one minus a minus two all over. April. It's too. You minus three to a minus one. We're gonna have a minus three on the top, and we're gonna have a plus two a minus three and to a minus one. We can eliminate that. A minus three. That's leaving us with one on the top, A plus two to a minus one on the bottom. That's a ce faras. We can simplify that now, the, uh, numbers that would make this undefined meaning they cannot be a negative too three or ever.

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