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Question: The coefficient of \((x - 2y + 3z)^{n}\) in the expansion of \(\frac{(18^{3} + 7^{3} + 3.18.7.25)}{3...

The coefficient of (x−2y+3z)n(x - 2y + 3z)^{n} in the expansion of (183+73+3.18.7.25)36+6.243.2+15.81.4+20.27.8+15.9.16+6.3.32+64\frac{(18^{3} + 7^{3} + 3.18.7.25)}{3^{6} + 6.243.2 + 15.81.4 + 20.27.8 + 15.9.16 + 6.3.32 + 64} is.

A

18

B

6

C

12

D

10

Answer

18

Explanation

Solution

15C715C_{7}

This contains x7x^{7} if 6 – r = 5 x8x^{8}

Coefficient of (2+x3)n\left( 2 + \frac{x}{3} \right)^{n}