Question

Number of terms in expansion of (xyz)ⁿprovides the count of terms in the expansion of (xyz)ⁿ by using:

a) Pascal's triangle.
b) The binomial theorem.
c) Geometric series.
d) Taylor series.

Answer 1

According to the binomial theorem, the expansion of (x + y + z)ⁿ will have (n+1) terms. In this case, since we have (xyz)ⁿ, the number of terms will still be (n+1).

Step-by-step explanation:

The number of terms in the expansion of (xyz)ⁿ can be found using The binomial theorem. According to the binomial theorem, the expansion of (x + y + z)ⁿ will have (n+1) terms. In this case, since we have (xyz)ⁿ, the number of terms will still be (n+1).