2. Pascal’s triangle

Pascal’s triangle

An expression consisting of two terms, connected by + or – sign is called binomial expression. Binomial Theorem. If a and b are real numbers and n is a positive integer, then. The general term of (r + 1)^th term in the expression is given by. T_r+1 = ⁿC_r a^n-r b^r.

Example: (a + b)⁷ = ⁷C₀ a⁷+ ⁷C₁a⁶b + ⁷C₂a⁵b² + ⁷C₃a⁴b³ + ⁷C₄a³b⁴ + ⁷C₅a²b⁵ + ⁷C₆ab⁶ + ⁷C₇b⁷