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

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

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

simplify

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

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

Solution steps

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

Simplify

x + \frac{1}{6} : \frac{6 x + 1}{6}

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

Apply the fraction rule:

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

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

Simplify

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

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

Apply the fraction rule:

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

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

Multiply the numbers:

3 \cdot 6 = 18

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

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

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