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Question

Question: In the expansion of \(10^{n} + 3(4^{n + 2}) + 5\) the term independent of x is....

In the expansion of 10n+3(4n+2)+510^{n} + 3(4^{n + 2}) + 5 the term independent of x is.

A

Non existent

B

(2+1)6(21)6=(\sqrt{2} + 1)^{6} - (\sqrt{2} - 1)^{6} =

C

2268

D

– 2268

Answer

– 2268

Explanation

Solution

(x+3)6(x + 3)^{6} = x32x^{32}

For term independent of x,

(x41x3)15\left( x^{4} - \frac{1}{x^{3}} \right)^{15}

15C415C_{4}.