Class 11 Math: Binomial Theorem Solved Examples & Step Solutions

The best way to gain confidence in mathematics is by studying solved examples. By analyzing how formulas are applied step-by-step, you learn how to tackle complex questions in your homework and exams. Let's walk through standard worked examples for Class 11 Binomial Theorem.

Step-by-Step Solved Problems

Example 1: Expanding Binomial

Worked Solution Steps:

1. Use general term formula: T_{r+1} = ⁵C_r * x^{5-r} * 2^r.
2. For x³ power, we need 5 - r = 3 => r = 2.
3. Substitute r = 2: T_3 = ⁵C_2 * x³ * 2².
4. Evaluate: ⁵C_2 = 10, 2² = 4. Coefficient = 10 * 4 = 40.

Self-Practice Method

When studying these examples, cover the solution with a sheet of paper and attempt to solve the question on your own. If you get stuck, reveal the steps one by one to identify where your logic deviated. This active recall method builds long-term problem-solving skills.