Question 102781
(12 – 3x^2) / (x^2 – x – 2 )

= [3(4-x^2)] / [(x-2)(x+1)]

= [3(2-x)(2+x)] / [(x-2)(x+1)]

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Note: 2-x = -(x-2)
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= [-3(x-2)(2+x)] / [(x-2)(x+1)]
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Cancel the (x-2) factors to get:
= [-3(2+x)] / [(x+1)]

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Cheers,
Stan H>