To Find : term independent of x, i.e. x0
For \(\Big(x-\frac{1}{x^2}\Big)^{3n}\)
a = x, b = -\(\frac{1}{x^2}\) and N = 3n
We have a formula,
Now, to get coefficient of term independent of x that is coefficient of x0 we must have,
(x)3n-3r = x0
• 3n - 3r = 0
• 3r = 3n
• r = n
Therefore, coefficient of x0 = (n3n)(-1)n
Conclusion : coefficient of x0 = (n3n)(-1)n