Question

In the following exercises, simplify each rational expression. $\frac{x^2+4 x-5}{x^2-2 x+1}$

   In the following exercises, simplify each rational expression.
$\frac{x^2+4 x-5}{x^2-2 x+1}$
Intermediate Algebra
Intermediate Algebra
Lynn Marecek 1st Edition
Chapter 7, Problem 11 ↓
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In the following exercises, simplify each rational expression. $\frac{x^2+4 x-5}{x^2-2 x+1}$
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Transcript

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00:01 Number 34, we have a rational expression containing a couple of trinomials.
00:09 And if you've gone through your examples and tried some of these other problems, you know that all we have to do here is factor each trinomial and then cancel out anything that matches.
00:20 It's actually quite an easy type of rational expression to simplify.
00:28 So you probably should already know how to factor basic type 1 trinomials at this point in the class.
00:37 So we're not going to go over how to do that.
00:42 But if what i come up with here confuses you, you may want to go back and revisit factoring polynomials.
00:51 Anyway, x squared plus 4x minus 5, that's going to factor x plus 5x minus 1.
00:57 Again because 5 minus 1 is 4 and 5 times minus 1 is negative 5.
01:05 X squared minus 2x plus 1.
01:08 This is actually a perfect squared trinomial...
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