What is (x-1/3)(x-1/4) ?

The solution to (x-1/3)(x-1/4) is ((3x-1)(4x-1))/(12)

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simplify (x-1/3)(x-1/4)

simplify

(x - \frac{1}{3}) (x - \frac{1}{4})

\frac{( 3 x - 1 ) ( 4 x - 1 )}{12}

Solution steps

(x - \frac{1}{3}) (x - \frac{1}{4})

Simplify

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

= \frac{3 x - 1}{3} (x - \frac{1}{4})

Apply the fraction rule:

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

= \frac{( 3 x - 1 ) ( x - \frac{1}{4} )}{3}

Simplify

(3 x - 1) (x - \frac{1}{4}) : \frac{( 3 x - 1 ) ( x \cdot 4 - 1 )}{4}

= \frac{\frac{( 3 x - 1 ) ( x \cdot 4 - 1 )}{4}}{3}

Apply the fraction rule:

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

= \frac{( 3 x - 1 ) ( x \cdot 4 - 1 )}{4 \cdot 3}

Multiply the numbers:

4 \cdot 3 = 12

= \frac{( 3 x - 1 ) ( x \cdot 4 - 1 )}{12}

= \frac{( 3 x - 1 ) ( 4 x - 1 )}{12}

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