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perform the indicated operation x over x2 1 minus 3 over x2 2x 1

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Perform the indicated operation X over x2-1 minus 3 over x2-2x+1

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Answer to a math question Perform the indicated operation X over x2-1 minus 3 over x2-2x+1

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Apply the fraction rule $\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}$

$=\frac{x(x-1)-3(x+1)}{(x+1)(x-1)^{2}}$

Simplify $x(x-1)-3(x+1):{\quad}x^{2}-4x-3$

$=\frac{x^{2}-4x-3}{(x+1)(x-1)^{2}}$

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