(x+3/x2-9+x/6+x-x2)(3-x/4x-6)
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(x+3/x2-9+x/6+x-x2)(3-x/4x-6)
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[ (x+3) / (x² - 9) + x / (6+x - x²) ] (3 - x) / (4x - 6)
= [ (x+3) / (x+3)(x-3) - x / (x-3)(x+2) ] (3 - x) / (4x - 6)
= [ 1/(x-3) -x / (x-3)(x+2) ] * -(x - 3) / (4x - 6)
= [ 1 - x / (x+2) ] * (-1)/(4x - 6)
= 2/(x+2) * (-1) / 2(2x - 3)
= - 1 / [ (x+2)(2x-3) ]
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[ (x+3) / (x² - 9) + x / (6+x - x²) ] (3 - x) / (4x - 6)
= [ (x+3) / (x+3)(x-3) - x / (x-3)(x+2) ] (3 - x) / (4x - 6)
= [ 1/(x-3) -x / (x-3)(x+2) ] * -(x - 3) / (4x - 6)
= [ 1 - x / (x+2) ] * (-1)/(4x - 6)
= 2/(x+2) * (-1) / 2(2x - 3)
= - 1 / [ (x+2)(2x-3) ]
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