What's the significance of quadratic term theorem and why should we learn it?

What's the significance of quadratic term theorem and why should we learn it?

In order to solve the problem of (a + b) ^ n
(a+b)^n=Cn^0*an+Cn^1*an-1b1+… +Cn^r*an-rbr+… +Cn^n*bn(n∈N*)