What is (x+1/x)(x-2/x) ?

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

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

simplify

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

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

Solution steps

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

Join

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

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

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Simplify

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

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

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

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

Apply exponent rule:

aa = a^{2}

xx = x^{2}

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

s^{2} + 8 s + 12

7 \cdot 28

\frac{7}{8} + \frac{2}{3}

(x y - 9)^{2}

(\frac{3}{5}) (\frac{6}{7}) (- 4)

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