Q3 of 25 Page 8

Expand each of the following expression (2x – 3)6


By using Binomial Theorem, we have
(2x -3)6= [2x +(-3)]6
           = 6C0 (2x)6 (-3)° + 6C1(2x)5 (-3)1 + 6C2 (2x)4 (-3)2 + 6C3(2x)3 (-3)3+ 6C4 (2x)2 (-3)4 + 6C5(2x)1 (-3)5 + 6C6(2x)0 (-3)6
           = 1(2x)6 + 6(2x)5(-3) + 15(2x)4 (-3)2 + 20(2x)3 (-3)3 + 15(2x)2(-3)4+ 6(2x)(-3)5+(-3)6
           = 64x6 – 576x5 + 2160x4 – 4320x3 + 4860x2 – 2916x + 729

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