listing method, Mathematics

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how will you explain the listing method?

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Solve-|x2-5x+4/x2-4|

x^2-5x+4 can written in roots as (x-1)*(x-4) x^2-4 can be written interms of (x-2)(x+2).so [(x-1)(x-4)/(x-2)(x+2)]

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