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Using binomial theorem, write down the e...

Using binomial theorem, write down the expansions of the following: `(1-3x)^7`

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`=7_{C_0}(3 x)^{0}-7_{C_1}(3 x)^{1}+7_{C_2}(3 x)^{2}-7_{C_3}(3 x)^{3}+7_{C_4}(3 x)^{4}-7_{C_5}(3 x)^{5}+7_{C_6}(3 x)^{6}-7_{C_7}(3 x)^{7}`
`=1-7 times 3 x+21 times 9 x^{2}-35 times 27 x^{3}+35 times 81 x^{4}-21 times 243 x^{5}+7 times 729 x^{6}-2187 x^{7}`
`=1-21 x+189 x^{2}-945 x^{3}+2835 x^{4}-5103 x^{5}+5103 x^{6}-2187 x^{7}`
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