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Using binomial theorem, write down the e...

Using binomial theorem, write down the expansions of the following: `(2x-3y)^4`

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`=\ ^{4} C_{0}(2 x)^{4}(3 y)^{0}-\ ^{4} C_{1}(2 x)^{3}(3 y)^{1}+\ ^{4} C_{2}(2 x)^{2}(3 y)^{2}-\ ^{4} C_{3}(2 x)^{1}(3 y)^{3}+\ ^{4} C_{4}(2 x)^{0}(3 y)^{4}`
`=16 x^{4}-4 times 8 x^{3} times 3 y+6 times 4 x^{2} times 9 y^{2}-4 times 2 x times 27 y^{3}+81 y^{4}`
`=16 x^{4}-96 x^{3} y+216 x^{2} y^{2}-216 x y^{3}+81 y^{4}`
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  14. Evaluate the following: \ {a^2+sqrt(a^2-1)}^4+{a^2-sqrt(a^2-1)}^4

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