化简 ((x-1)/x)^2-((x+1)/x)^2

解答

化简

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

- \frac{4}{x}

求解步骤

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

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

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

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

合并

\frac{( x - 1 ) ^{2}}{x ^{2}} - \frac{( x + 1 ) ^{2}}{x ^{2}} : - \frac{4}{x}

= - \frac{4}{x}

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