Binomial Theorem
Term Independent of x
Premium Question
Grade 11

Question:

The term independent of $x$ in the expansion of $\left(x + \frac{1}{x}\right)^{10}$ is:
(1) $210$
(2) $252$
(3) $120$
(4) $462$

Step-by-Step Solution

Key Concept: Write the general term $T_{r+1} = \binom{10}{r} x^{10-2r}$, set the exponent of $x$ equal to zero to find the required value of $r$, and then evaluate $\binom{10}{r}$ for that $r$.
The detailed step-by-step mathematical proof is available inside the Mathbee app workspace.
Correct Answer: (2)

Master Binomial Theorem with Mathbee

Practice this topic under real exam conditions with strict timers, or ask our AI Mentor to explain the concepts step-by-step.

Start Practicing for Free