binomial expansions

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..

We shall discuss expansions of binomials and trinomi..

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..

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 necessar..

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

Find the 12 th term of the binomial expansion (1 - x ) 12 . => - 12 x 11 or 12 x 11 or - 11 x 12 or 11 x 12..

A binomial expansion has 10 terms. The first term is - x 9 and the last term is 19683. Find the third and fourth terms. => 9 x 7 , - 27 x 6 or - 9 x 7 , 27 x 6 or 3 x 8 , - 9 x 7 or 9 x 7 , 27 x 6..

Find the third term in the binomial expansion of (2 x + y ) 8 . => 92x 5 y 3 or 1792x 6 y 2 or 1692x 6 y 2 or 1792x 5 y 3..

Find the 16 th term in the binomial expansion of (81 + x 2 + 18 x ) 8 . => 16 x 15 or - 16 x 15 or 15 x 16 or 16 x..

Find the tenth term in the binomial expansion of ( x 10 + 1 x ) 11 . => 55 x 11 or 110 x - 9 or x 9 2 or 55 x 29..