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Mathematics

(x2 + 3x) men can do a piece of work in (x2 - 2x) days, then one day work of 1 man is :

  1. x+3x2\dfrac{x + 3}{x - 2}

  2. (x2 + 3x)(x2 - 2x)

  3. x2x+3\dfrac{x - 2}{x + 3}

  4. none of these

Factorisation

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Answer

Given, total number of men = (x2 + 3x)

Total number of days = (x2 - 2x)

Total work = (x2 + 3x)(x2 - 2x)

One day work of 1 man = 1(x2+3x)(x22x)\dfrac{1}{(x^2 + 3x)(x^2 - 2x)}

Hence, option 4 is the correct option.

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