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Perform the indicated operations and write the result in simplest form.$(a-5)(a+4)$

$a^{2}-a-20$

Algebra

Chapter 1

THE INTEGERS

Section 5

Multiplying Polynomials

The Integers

Equations and Inequalities

Polynomials

Campbell University

McMaster University

Idaho State University

Lectures

01:32

In mathematics, the absolu…

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Perform the operations and…

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Perform the indicated oper…

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Perform the operations. Si…

everybody today we're going to be solving problem number 11. Uh, the question States performed the indicated operations and right through. So its simplest form, the expression were given is a menace five times a plus for what we want to do here is convert this right over here from this from sack reform into expended for him. So we wantto, you know, expand this expression. So in order to do that, I have a nice little trick here called for you f o i l. And so for l just as for first Outer in her last. And he's just a nice trick. Thio expand this from factor for him into expanded form. And so, uh, let's do if at first, so first. So what we're doing is we're going to multiply the first terms together as we get A and A to get a square. Then we do the outer terms. So let's get a and four to get for a Now we have to do that in our terms. So we go negative five and eight to get negative 58 and finally we have to do we have to do the last so negative five and four to get angry. 20. And so now that we have expanded, this is just a matter of combining let terms. So he squared. There's no other a squared here, so that will just drop right down. Then it's going to be a plus for a minus +58 and that's the same thing as negative eight. So that's going to be negative. Es and 20 is also going to drop down, so we're going to get a squared minus a minus 20.

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