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Mathematics

Simplify the following:

(2x3x)(2x+3x)\Big(2x - \dfrac{3}{x}\Big)\Big(2x + \dfrac{3}{x}\Big)

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Answer

(2x3x)(2x+3x)=(2x)2(3x)2=4x29x2\Big(2x - \dfrac{3}{x}\Big)\Big(2x + \dfrac{3}{x}\Big) = \Big(2x\Big)^2 - \Big(\dfrac{3}{x}\Big)^2 = 4x^2 - \dfrac{9}{x^2}

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