What is (x-2/3)(x+1/6) ?

The solution to (x-2/3)(x+1/6) is ((3x-2)(6x+1))/(18)

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simplify (x-2/3)(x+1/6)

simplify

(x - \frac{2}{3}) (x + \frac{1}{6})

\frac{( 3 x - 2 ) ( 6 x + 1 )}{18}

Solution steps

(x - \frac{2}{3}) (x + \frac{1}{6})

Simplify

x - \frac{2}{3} : \frac{3 x - 2}{3}

= \frac{3 x - 2}{3} (x + \frac{1}{6})

Apply the fraction rule:

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

= \frac{( 3 x - 2 ) ( x + \frac{1}{6} )}{3}

Simplify

(3 x - 2) (x + \frac{1}{6}) : \frac{( 3 x - 2 ) ( x \cdot 6 + 1 )}{6}

= \frac{\frac{( 3 x - 2 ) ( x \cdot 6 + 1 )}{6}}{3}

Apply the fraction rule:

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

= \frac{( 3 x - 2 ) ( x \cdot 6 + 1 )}{6 \cdot 3}

Multiply the numbers:

6 \cdot 3 = 18

= \frac{( 3 x - 2 ) ( x \cdot 6 + 1 )}{18}

= \frac{( 3 x - 2 ) ( 6 x + 1 )}{18}

5 x^{2} + 2 x - 7

16 x^{2} - 2 x - 3

2 a 44 a^{3} b^{7} c^{9}

\frac{7}{6} + 1