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Popular >

simplify (x+1/x)(x+1/x)

Solution

simplify

(x + \frac{1}{x}) (x + \frac{1}{x})

Solution

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

Solution steps

(x + \frac{1}{x}) (x + \frac{1}{x})

Apply exponent rule:

aa = a^{2}

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

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

Join

x + \frac{1}{x} : \frac{x ^{2} + 1}{x}

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

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Frequently Asked Questions (FAQ)

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