Which is equivalent to \frac{2}{x - 1} - \frac{1}{x + 1}?

\frac{x + 3}{x^2 - 1} Common denominator: \frac{2(x + 1) - (x - 1)}{(x - 1)(x + 1)} = \frac{2x + 2 - x + 1}{x^2 - 1} = \frac{x + 3}{x^2 - 1}.

Equivalent Expressions

SAT Math· difficulty 5/5

\frac{2}{x - 1} - \frac{1}{x + 1}

Explanation

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

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