sum of coefiicients in expansion of (1+x)^n - Maths - Polynomials

Question

sum of coefiicients in expansion of (1+x)^n

Varun.Rawat · Accepted Answer

We know that,1+xn = C0n + C1nx + C2nx2 + 
+Cn-1n 
 xn-1 + Cnn xnput x = 1 in the above expansion, we get1+1n =  C0n + C1n + C2n + 
+Cn-1n +  Cnn⇒C0n + C1n + C2n + 
+Cn-1n +  Cnn = 2n⇒sum of the coefficients in the expansion of 1+xn = 2n