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  • The number of terms in the expansion of (x + y + z)^n_________________

The number of terms in the expansion of (x + y + z)n_________________

Answers (1)

We know that,

(x+y+z)n = [x+(y+z)]n

             = nC0xn + nC1xn-1 (y+z) + nC2xn-2 (y+z)2 + …… + nCn (y + z)n

Therefore, the no. of terms in the expansion will be –

1+2+3+ …. +n+(n+1)

= (n+1)(n+2)/2

Posted by

infoexpert22

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