The middle term of the expansion (ax + ay)^(n) is 14580x ^(3) y^(3) find the value of a and the value of n, where a, n are elements of N.​

Question

The middle term of the expansion


`(ax + ay)^(n)`
is

`14580x ^(3) y^(3)`
find the value of a and the value of n, where a, n are elements of N.​

Answer 1

Hello,

a=3

Explanation:

Since the middle term is x^3y^3 ==> n=6

Coefficient of x^3y^3 is 20 (triangle de Pascal)

So a^6= 14580/20=729 ==> a=3