binomial expansion help

We shall discuss expansions of binomials and trinomi..

In algebra we come across certain products very frequently. For e.g., (a + b) 2 , (a + b) 3 (a + b + c) 2 etc. These are nothing but products of binomials or trinomials. We derive the formulae for these products and apply them whenever necessary. These expansions help..

We shall discuss expansions of binomials, trinomials, Formulae 1. a 2 + b 2 = (a + b) 2 - 2ab 2. a 2 + b 2 = (a - b) 2 + 2ab 3. (a + b) 2 = (a - b) 2 + 4..

When pressure is applied on a gas, it contracts. Conversely, when pressure is released the gas expands. When the temperature is increased, the particles gain more energy, move faster and move away from each other. As a result the intermolecular attraction becomes less prominent. The volume of the ..

Equations - Algebraic and transcendental equations; Algebraic equations: Every algebraic equation of degree n ≥ 1 has a root real or comple..

For any rational number n, We accept this expansion without proo..

>This is the same expansion as would have given by the binomial theorem for positive integral inde..

Introduction - A binomial is an algebraic expression of two terms which are connected by the operations '+' or '-'. For example, x - y, a + 3b, x 3 + 4y etc. are binomials. We know that, For n = 1,2,3,4, the expansion of (a + b) n , has been expressed in a very systema..

Approximate (0.99) 30 to the nearest tenth using the first two terms of a binomial expansion. => 0.03 or 0.3 or 0.07 or 0.7..

Find the fifth term of the binomial expansion (3 - x ) 6 . => 105 x 5 or -135 x 4 or 235 x 5 or 135 x 4..