KatharinaBerts KatharinaBerts

18-09-2022
Mathematics

contestada

the middle term of the expansion
[tex] (ax + ay)^{n} [/tex]
is
[tex]14580x ^{3} y^{3} [/tex]
find the value of a and the value of n, where a, n are elements of N.

Respuesta :

18-09-2022

Answer:

Hello,

a=3

Step-by-step 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

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