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

The solution to (x-1/3)(x+2/3) is ((3x-1)(3x+2))/9

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

simplify

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

\frac{( 3 x - 1 ) ( 3 x + 2 )}{9}

Solution steps

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

Simplify

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

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

Apply the fraction rule:

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

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

Simplify

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

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

Apply the fraction rule:

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

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

Multiply the numbers:

3 \cdot 3 = 9

= \frac{( 3 x - 1 ) ( x \cdot 3 + 2 )}{9}

= \frac{( 3 x - 1 ) ( 3 x + 2 )}{9}

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