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Popular >

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

Solution

simplify

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

Solution

\frac{4}{x}

Solution steps

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

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

(1 - \frac{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 (1+1/x)^2-(1-1/x)^2 ?
The solution to (1+1/x)^2-(1-1/x)^2 is 4/x