Question

Simplify each rational expression. $\frac{16-y^2}{y(y-8)+16}$

   Simplify each rational expression.
$\frac{16-y^2}{y(y-8)+16}$
Introductory & Intermediate Algebra for College Students
Introductory & Intermediate Algebra for College Students
Robert F. Blitzer 4th Edition
Chapter 7, Problem 80 ↓
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Simplify each rational expression. $\frac{16-y^2}{y(y-8)+16}$
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Transcript

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00:01 The first thing we need to do for this problem is factor as much as we can.
00:05 So on the top, i'm going to factor out the common factor.
00:09 These are both divisible by five.
00:11 And also, since the term with the variable, since that has a negative coefficient, i always want my variable term to have a positive coefficient.
00:20 So i'm going to factor out a negative along with the five.
00:25 And when we do that, that's going to make this become negative 4 plus y.
00:35 And then on the bottom, we have y squared minus 16, which is a difference of squares.
00:40 So that's going to factor out to be y plus four and y minus four.
00:48 So now that we've done that, i'm just going to rewrite this so that we have everything more clean...
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