posted by Ed .
Using the binomial theorem, Find the first three terms in the expansion of (x-(1/x))^5.
C(5,0)x5 + C(5,1)(x4)(-1/x) + C(5,2)(x3)(-1/x)2
x5 + (5)(x4)(-1/x) + 10(x3)(-1/x)2
x5 + (-5x4/x) + 10(x3)(1/x2)
x5 + (-5x3) + 10(x)
x5 -5x3 + 10x
The first three terms are x5, -5x3, and 10x, respectably.
Is this right? Thanks a lot.