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Class XI Mathematics

Chapter 7: Binomial Theorem

Standard NCERT & CBSE aligned study curriculum. Master concepts, track accuracy, revise weak areas, and challenge yourself with 9 customized practice modes.

Example 1

Expanding Binomial

Find the coefficient of x³ in the expansion of (x + 2)⁵.

Calculation Steps:

  1. 1Use general term formula: T_{r+1} = ⁵C_r * x^{5-r} * 2^r.
  2. 2For x³ power, we need 5 - r = 3 => r = 2.
  3. 3Substitute r = 2: T_3 = ⁵C_2 * x³ * 2².
  4. 4Evaluate: ⁵C_2 = 10, 2² = 4. Coefficient = 10 * 4 = 40.
Solution40