What is (6/7+w)(6/7-w) ?

The solution to (6/7+w)(6/7-w) is ((7w+6)(-7w+6))/(49)

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simplify (6/7+w)(6/7-w)

simplify

(\frac{6}{7} + w) (\frac{6}{7} - w)

\frac{( 7 w + 6 ) ( - 7 w + 6 )}{49}

Solution steps

(\frac{6}{7} + w) (\frac{6}{7} - w)

Simplify

\frac{6}{7} + w : \frac{7 w + 6}{7}

= \frac{7 w + 6}{7} (\frac{6}{7} - w)

Apply the fraction rule:

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

= \frac{( 7 w + 6 ) ( \frac{6}{7} - w )}{7}

Simplify

(7 w + 6) (\frac{6}{7} - w) : \frac{( 7 w + 6 ) ( - w \cdot 7 + 6 )}{7}

= \frac{\frac{( 7 w + 6 ) ( - w \cdot 7 + 6 )}{7}}{7}

Apply the fraction rule:

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

= \frac{( 7 w + 6 ) ( - w \cdot 7 + 6 )}{7 \cdot 7}

Multiply the numbers:

7 \cdot 7 = 49

= \frac{( 7 w + 6 ) ( - w \cdot 7 + 6 )}{49}

= \frac{( 7 w + 6 ) ( - 7 w + 6 )}{49}

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