0:00
All right.
00:02
Let's check and make sure you got the right, whoops, the right coefficients here.
00:08
So, a over, oh my gosh, a over x plus 1 plus b over x minus 1 plus cx plus d over x squared minus plus 1.
00:22
Equals x squared over x to the fourth plus minus 1.
00:26
Okay, so now multiply by the least common in.
00:32
Denominator to clear off the fractions.
00:37
So b times x plus 1 times x squared plus 1 plus cx plus d times these two which are x squared minus 1.
00:49
That's got to equal x squared.
00:52
So a x cubed plus a x squared minus a plus bx cubed plus bx squared plus bx squared plus bx squared plus bx squared plus b plus cx cubed minus cx plus d x squared minus d equals x squared so a plus b plus c equals 0 and then the x squared terms give me negative a plus b plus d equals 1 and then the x terms give me a plus b minus c equals 0.
01:58
And then the constants give me negative a plus b minus d equals 0.
02:07
Negative a plus b minus d equals zero.
02:16
Okay, so if i add these together, i get negative 2a plus 2b equals 1.
02:22
And if i add these together i get 2a plus 2b equals 0.
02:36
So 4b equals 1, b equals 1 4th...