00:01
Today, we are evaluating fractions with polynomials into equivalent expressions when we are given the least common denominator between the two fractions.
00:12
In this case, the first fraction we are going to deal with is 6 over a squared plus 14a plus 45.
00:23
And the least common denominator we're given is a plus 9.
00:33
A plus 5 and a minus 9.
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So the first step is to factor out this polynomial in this fraction.
00:44
So doing that gives us 6 over a plus 9 and a plus 5.
00:54
Now that that's factored, we can multiply by the missing binomial in the least common denominator.
01:03
So in this case, we are missing an a minus 9.
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That does not show up in the denominator here.
01:09
So we want to multiply the top and the bottom by a minus 9.
01:15
When we do that, we distribute the 6 to both nomials, which gives us 6a minus 54 over our least common denominator of a plus 9, a plus 5, and a minus 9 is.
01:36
Now added down there as well...
