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Popular >

simplify ((x-1)/x)^2-((x+1)/x)^2

Solution

simplify

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

Solution

- \frac{4}{x}

Solution steps

(\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}}

Join

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

= - \frac{4}{x}

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Frequently Asked Questions (FAQ)

What is ((x-1)/x)^2-((x+1)/x)^2 ?
The solution to ((x-1)/x)^2-((x+1)/x)^2 is -4/x