NTA Abhyas JEE Main2020MathematicsBinomial TheoremPractice

The term independent of x in the expansion of x - 1 x 4 x + 1 x 3 is

Options

A- 3
B0
C1
D3

Correct answer

B. 0

Step-by-step solution

x - 1 x x - 1 x 3 x + 1 x 3 = x - 1 x x 2 - 1 x 2 3 = x - 1 x x 6 - 3 x 2 + 3 1 x 2 - 1 x 6 There is no term containing 1 x and x in the second bracket. So, the expansion will not contain any term independent of x .

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