no. of terms in the expansion of(x+y+z)n
=(x+(y+z ))n
=xn*1+xn-1*(y+z)+xn-2*(y+z)2+......
=1 term +2 terms +3terms+.....(n+1) terms
=1/2(n+1)(n+2) terms
Find the number of terms in the expansion of (x^2 + 1 + 1/x^2)^n ,n=N
This one is not very difficult if you think of the number of solutions of
2a-2b.. where a+b+c=n and a,b,c ≥0
Do you get the hint?
no. of terms in the expansion of(x+y+z)n
=(x+(y+z ))n
=xn*1+xn-1*(y+z)+xn-2*(y+z)2+......
=1 term +2 terms +3terms+.....(n+1) terms
=1/2(n+1)(n+2) terms
@nishant sir, please explain ur hint ,sir and is the solution 1/2(n+1)(n+2) correct?
got it sir terms with similar powers of x club together reducing no. of terms.