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Rational Expressionshard
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Consider the expression S=1x2+2x+1x2+6x+8+1x2+10x+24S = \frac{1}{x^2+2x} + \frac{1}{x^2+6x+8} + \frac{1}{x^2+10x+24}S=x2+2x1​+x2+6x+81​+x2+10x+241​. If xxx is a positive integer, what is the value of SSS when x=2x=2x=2?