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Find the coefficient of x^(r) in the exp...

Find the coefficient of `x^(r)` in the expansion of
`(x+4)^(n)+(x+4)^(n-1)(x+3)+(x+4)^(n-2)(x+3)^(2)+.....+(x+3)^(n)`

Text Solution

Verified by Experts

The correct Answer is:
`((n+1)!)/(r!(n+1-r))(4^(n+1-r)-3^(n+1-r))`
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