What is (1+2/x)(3-1/x) ?

The solution to (1+2/x)(3-1/x) is ((x+2)(3x-1))/(x^2)

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simplify (1+2/x)(3-1/x)

simplify

(1 + \frac{2}{x}) (3 - \frac{1}{x})

\frac{( x + 2 ) ( 3 x - 1 )}{x ^{2}}

Solution steps

(1 + \frac{2}{x}) (3 - \frac{1}{x})

Join

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

= \frac{x + 2}{x} (3 - \frac{1}{x})

Apply the fraction rule:

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

= \frac{( x + 2 ) ( 3 - \frac{1}{x} )}{x}

Simplify

(x + 2) (3 - \frac{1}{x}) : \frac{( x + 2 ) ( 3 x - 1 )}{x}

= \frac{\frac{( x + 2 ) ( 3 x - 1 )}{x}}{x}

Apply the fraction rule:

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

= \frac{( x + 2 ) ( 3 x - 1 )}{xx}

Apply exponent rule:

aa = a^{2}

xx = x^{2}

= \frac{( x + 2 ) ( 3 x - 1 )}{x ^{2}}

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

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