What is (x-1/9)(x+7/9) ?

The solution to (x-1/9)(x+7/9) is ((9x-1)(9x+7))/(81)

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simplify (x-1/9)(x+7/9)

simplify

(x - \frac{1}{9}) (x + \frac{7}{9})

\frac{( 9 x - 1 ) ( 9 x + 7 )}{81}

Solution steps

(x - \frac{1}{9}) (x + \frac{7}{9})

Simplify

x - \frac{1}{9} : \frac{9 x - 1}{9}

= \frac{9 x - 1}{9} (x + \frac{7}{9})

Apply the fraction rule:

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

= \frac{( 9 x - 1 ) ( x + \frac{7}{9} )}{9}

Simplify

(9 x - 1) (x + \frac{7}{9}) : \frac{( 9 x - 1 ) ( x \cdot 9 + 7 )}{9}

= \frac{\frac{( 9 x - 1 ) ( x \cdot 9 + 7 )}{9}}{9}

Apply the fraction rule:

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

= \frac{( 9 x - 1 ) ( x \cdot 9 + 7 )}{9 \cdot 9}

Multiply the numbers:

9 \cdot 9 = 81

= \frac{( 9 x - 1 ) ( x \cdot 9 + 7 )}{81}

= \frac{( 9 x - 1 ) ( 9 x + 7 )}{81}

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