Question 988279
[(1)/(x+1)]/[(1)/(x^2)-2x-3)+(1)/(x-3)]
{{{(1/(x+1))/(1/(x^2-2x-3)+1/(x-3))}}} Factor quadratic in denominator.
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{{{(1/(x+1))/(1/((x-3)(x+1))+1/(x-3))}}} Multiply by (x-3)/(x-3)
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{{{((x-3)/(x+1))/(1/(x+1)+1)}}} Multiply by (x+1)/(x+1)
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{{{(x-3)/(1+(x+1))}}}
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{{{(x-3)/(x+2)}}}