learn binomial expansions online

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 us to ..

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 ..

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 the value of (1.04) 8 by using the first two terms of a binomial expansion. => 3.12 or 0.68 or 0.32 or 1.32..

Find the eighth term in the binomial expansion of ( x - 2) 7 . => -512 or 64 or 256 or -128..

Use binomial theorem to find the expansion of ( x 2 + 2) 4 . => x 8 + 8x 6 + 24x 4 + 32x 2 + 16 or x 8 + 8x 5 + 24x 4 + 24x 2 + 8 or x 8 + 8x 5 + 24x 4 + 24x 2 + 8 or x 8 + 16..