use of binomial theorem

Use binomial theorem to find the expansion of (1 - x) 5 => 1 - 5x + 10x 2 - 10x 3 - 5x 4 + x 5 or 1- x + x 2 - x 3 + x 4 - x 5 or 1 - 5x + 10x 2 - 10x 3 + 5x 4 - x 5 or 1- x 5..

Use the binomial theorem to find the expansion. ( x + y ) 3 => x 3 + 3x 2 y + 3xy 2 + y 3 or x 3 + 3x 2 y + 6xy 2 + y 3 or x 3 + x 2 y + xy 2 + y 3 or x 3 + y 3..

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..

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 systematical mann..

Use binomial theorem to find the expansion of (2 x - y ) 4 . => 16 x 4 - 32 x 3 y + 24 x 2 y 2 - 8 xy 3 + y 4 or 16 x 4 - 32 x 3 y - 24 x 2 y 2 - 8 xy 3 - y 4 or 16 x 4 + y 4 or 16 x 4 - y 4..

Use binomial theorem to write the expansion of (2 x + 3 y ) 3 => 8 x 3 + 3 6 x 2 y + 5 4 x y 2 + 2 7 y 3 or 8 x 3 + 2 7 3 or x 3 + 1 8 x 2 y + 1 8 x y 2 + y 3 or 8 x 3 + 3 6 x 2 y + 3 6 x y 2 + 2 7 y 3..

1. A sentence is called a statement if it can be adjudged as true or false. Every statement is a sentence, but a sentence may or may not be a statement. 2. A statement involving natural number n is generally denoted by P(n). 3. A binomial is an algebraic expression o..

Using Binomial theorem, prove that: ..

Some Applications of Binomial Theorem for Fractional Index - If x be numerically so small that its cube and higher powers may be x 3 , x 4 , x 5 , . are all approximately zero. If x be numerically so small that its square and higher powers may be neglected, then (1+x) n = 1+nx (..

Summary - A sentence is called a statement if it can be adjudged as true or false. Every statement is a sentence, but a sentence may or may not be a statement. A statement involving natural number n is generally denoted by P(n). Principle of mathematical induction states that if P(n) is a statement..