Fractional addition and subtraction (3x³-12x)/(x²-2x) – (x³-4x)/(x²+2x) | Math enthusiast | Mathematical art

Fractional addition and subtraction (3x³-12x)/(x²-2x) – (x³-4x)/(x²+2x)

(3x³-12x)/(x²-2x) – (x³-4x)/(x²+2x)=3x(x²-4)/(x²-2x)-x(x²-4)/(x²+2x)=3x〔(x+2)(x-2)〕/〔x(x-2)〕-x〔(x+2)(x-2)〕/〔x(x+2)〕=3(x+2)-(x-2)=3x+6-x+2=2x+8

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