Question

Find the third term in the expansion of (3 + y)^6

Answer 1

Given,

The expansion is = (3+y)⁶

To find,

The third term of the given expansion.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Here, we have to apply the principle of binomial theorem.

Here, n = 6

r = (3-1) = 2

n-r = (6-2) = 4

The third term [t(2+1)]= 6C2 × (3)⁴ × (y)² = 15×81×y² = 1215y² [Application of general term]

Hence, the third term of the given expansion is 1215y²

Answer 2

third term of the expression is 1215y²