What is (x-1/3)(x-1/6) ?

The solution to (x-1/3)(x-1/6) is ((3x-1)(6x-1))/(18)

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simplify (x-1/3)(x-1/6)

simplify

(x - \frac{1}{3}) (x - \frac{1}{6})

\frac{( 3 x - 1 ) ( 6 x - 1 )}{18}

Solution steps

(x - \frac{1}{3}) (x - \frac{1}{6})

Simplify

x - \frac{1}{3} : \frac{3 x - 1}{3}

= \frac{3 x - 1}{3} (x - \frac{1}{6})

Apply the fraction rule:

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

= \frac{( 3 x - 1 ) ( x - \frac{1}{6} )}{3}

Simplify

(3 x - 1) (x - \frac{1}{6}) : \frac{( 3 x - 1 ) ( x \cdot 6 - 1 )}{6}

= \frac{\frac{( 3 x - 1 ) ( x \cdot 6 - 1 )}{6}}{3}

Apply the fraction rule:

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

= \frac{( 3 x - 1 ) ( x \cdot 6 - 1 )}{6 \cdot 3}

Multiply the numbers:

6 \cdot 3 = 18

= \frac{( 3 x - 1 ) ( x \cdot 6 - 1 )}{18}

= \frac{( 3 x - 1 ) ( 6 x - 1 )}{18}

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