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In $3-12,$ multiply and express each product in simplest form. In each case, list any values of the variables for which the fractions are not defined.$$\frac{a^{2}-5 a+4}{3 a+6} \cdot \frac{2 a+4}{a^{2}-16}$$

$\frac{2(a-1)}{3(a+4)}, a \neq-2,4,-4$

Algebra

Chapter 2

THE RATIONAL NUMBERS

Section 3

Multiplying and Dividing Rational Expressions

Fractions and Mixed Numbers

Decimals

Equations and Inequalities

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Lectures

01:32

In mathematics, the absolu…

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05:34

In $3-12,$ multiply and ex…

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02:07

00:36

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01:09

In $13-24,$ divide and exp…

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03:59

Simplify each expression. …

Okay, So for this question were given this fraction he squared minus five plus four over three a plastics and were asked to multiply it by this fractured to a plus four over a square, a minus 16. So before I multiply, I'm going thio factor where all these numerator Zollo, these denominators s O this will become a minus five for times a minus one over three A plus, two times to a close to over a A plus for a minus four. So now I can go ahead and write, but it values a cannot. Well, so in this problem can't be a negative to positive four or negative for as those would make haste, denominators, people to zero. Okay, so now, uh, once again, before I multiply across, I'm going to do some simple flying, some cross cancellation. So I see a minus four over here, a minus four over here. I can go ahead and cancel these out. I also see a close to share a post to here so I can go ahead and cancel those out as well. Um, so now I think I'm ready to multiply across. This gives me two times a minus one over three times and plus four. That's our finally three

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