(-1/2x) - (1/4y) + (1/xy) + (1/8) = ?

A (x - 4)(2 - y)/8xy

B (x - 2)(y - 4)/8xy

C (x - 4)(y - 2)/8xy

D (x + 2)(4 - y)/8xy

Solution

Correct Answer: Option C

  ( - 1/2x) - (1/4y) + (1/xy) + (1/8)
= (- 4y - 2x + 8 + xy)/8xy
= (xy - 2x - 4y + 8)/8xy
= {x(y - 2) - 4(y - 2)}/8xy
= (y - 2)(x - 4)/8xy

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