Binomial Complex Fractions

Express with a rational denominator: $\frac{( x + - 1 ) ^{2}}{x - - 1} - \frac{( x - - 1 ) ^{2}}{x + - 1}$ .

~7 minAnswer checked instantlyComplex numbersRationalization

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. VIII. Surds and Imaginary Quantities, Examples VIII.b, No. 9

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).