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27-08-2017
Mathematics

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What is the simplified form of x+3/x^2-x-12 times x-4/x^2-8x+16?

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27-08-2017

[tex] \frac{x+3}{x^2-x-12} * \frac{x-4}{x^2-8x+16} \\= \frac{x+3}{(x-4)(x+3)}* \frac{x-4}{(x-4)(x-4)} = \frac{1}{x-4}* \frac{1}{x-4} = \frac{1}{(x-4)^2}[/tex] * x-4/x^2-8x+16

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