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Shortcut method to find out series in binomial theorem. Shortcut method to find out series in binomial theorem.
(x+y)0 = 1(x+y)1 = x + y(x+y)2 = x2 + 2xy + y2(x+y)3 = x3 + 3x2y + 3xy2 + y3(x+y)4 = x4 + 4x3y + 6x2y2 + 4xy3 + y4(x+y)5 = x5 + 5x4y + 10x3y2 +10x2y3 + 5xy4 + y51 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1using binomial triangle.
1 1 1 1 2 1 1 3 3 1 1 4 6 4 1 1 5 10 10 5 1 1 6 15 20 15 6 1 1 7 21 35 35 21 7 1
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