00:03
In this problem, we're multiplying rational expressions.
00:07
And rational expressions with multiplication act just like fractions.
00:10
So we'll multiply across the numerator and the denominator, which will give us 5x minus 5 times x squared plus x, all over 10x times x squared minus 1.
00:28
From there, we can factor.
00:30
So the numerator, we could pull a 5 out of this first term, 5 times x minus 1 times we can pull an x out of this term x times x plus 1.
00:46
In the denominator, we have a 10 times an x.
00:51
The difference of two squares, we have x plus 1 and x minus 1.
00:57
From there, we can factor out quantities that are in the numerator and the denominator, and this is because they factor out and equal 1...