Title Maths XII - Binomial theorem - Introduction.ppt.ppt ✅

An expression consisting of two terms is known as binomial expression. For example (x + a) is a binomial expression. BINOMIAL EXPRESSION
Consider (x + a)1 = x + a ⇒ (x + a)2 = x2 + 2xa + a2 ⇒(x + a)3 = x3 + 3x2a + 3xa2 + a3 ⇒(x + a)4 = x4 + 4x3a + 6x2a2 + 4xa3 +a4 The right hand side expressions in the above equations are known as binomial expansions. The coefficients in the above expansions are called binomial coefficients.