What is (x+2/7)(x-1/7) ?

The solution to (x+2/7)(x-1/7) is ((7x+2)(7x-1))/(49)

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simplify (x+2/7)(x-1/7)

simplify

(x + \frac{2}{7}) (x - \frac{1}{7})

\frac{( 7 x + 2 ) ( 7 x - 1 )}{49}

Solution steps

(x + \frac{2}{7}) (x - \frac{1}{7})

Simplify

x + \frac{2}{7} : \frac{7 x + 2}{7}

= \frac{7 x + 2}{7} (x - \frac{1}{7})

Apply the fraction rule:

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

= \frac{( 7 x + 2 ) ( x - \frac{1}{7} )}{7}

Simplify

(7 x + 2) (x - \frac{1}{7}) : \frac{( 7 x + 2 ) ( x \cdot 7 - 1 )}{7}

= \frac{\frac{( 7 x + 2 ) ( x \cdot 7 - 1 )}{7}}{7}

Apply the fraction rule:

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

= \frac{( 7 x + 2 ) ( x \cdot 7 - 1 )}{7 \cdot 7}

Multiply the numbers:

7 \cdot 7 = 49

= \frac{( 7 x + 2 ) ( x \cdot 7 - 1 )}{49}

= \frac{( 7 x + 2 ) ( 7 x - 1 )}{49}

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