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x+4/x^2+5x+6*x+3/x^2-16 I get stuck here x+4/(x+2)(x+3)/x+3/(x-4)(x+4)
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The x+3 in the numerator and denominator cancel out and so do the x+4 in the numerator and denominator. You are left with 1/(x+2)*(x-4)
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