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Question

Question: In the expansion of\(x^{n}\), the constant term is....

In the expansion ofxnx^{n}, the constant term is.

A

– 20

B

20

C

30

D

– 30

Answer

– 20

Explanation

Solution

In the expansion of x+yx + y, the general term is 72n+23n3.3n17^{2n} + 2^{3n - 3}.3^{n - 1}

For term independent of

72×1+23×13.3117^{2 \times 1} + 2^{3 \times 1 - 3}.3^{1 - 1}

Thus the required coefficient

72+20.30=49+1=507^{2} + 2^{0}.3^{0} = 49 + 1 = 50.