What is (w-5/7)(w+5/7) ?

The solution to (w-5/7)(w+5/7) is ((7w-5)(7w+5))/(49)

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simplify (w-5/7)(w+5/7)

simplify

(w - \frac{5}{7}) (w + \frac{5}{7})

\frac{( 7 w - 5 ) ( 7 w + 5 )}{49}

Solution steps

(w - \frac{5}{7}) (w + \frac{5}{7})

Simplify

w - \frac{5}{7} : \frac{7 w - 5}{7}

= \frac{7 w - 5}{7} (w + \frac{5}{7})

Apply the fraction rule:

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

= \frac{( 7 w - 5 ) ( w + \frac{5}{7} )}{7}

Simplify

(7 w - 5) (w + \frac{5}{7}) : \frac{( 7 w - 5 ) ( w \cdot 7 + 5 )}{7}

= \frac{\frac{( 7 w - 5 ) ( w \cdot 7 + 5 )}{7}}{7}

Apply the fraction rule:

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

= \frac{( 7 w - 5 ) ( w \cdot 7 + 5 )}{7 \cdot 7}

Multiply the numbers:

7 \cdot 7 = 49

= \frac{( 7 w - 5 ) ( w \cdot 7 + 5 )}{49}

= \frac{( 7 w - 5 ) ( 7 w + 5 )}{49}

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