What is (x-5/8)(x+5/8) ?

The solution to (x-5/8)(x+5/8) is ((8x-5)(8x+5))/(64)

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simplify (x-5/8)(x+5/8)

simplify

(x - \frac{5}{8}) (x + \frac{5}{8})

\frac{( 8 x - 5 ) ( 8 x + 5 )}{64}

Solution steps

(x - \frac{5}{8}) (x + \frac{5}{8})

Simplify

x - \frac{5}{8} : \frac{8 x - 5}{8}

= \frac{8 x - 5}{8} (x + \frac{5}{8})

Apply the fraction rule:

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

= \frac{( 8 x - 5 ) ( x + \frac{5}{8} )}{8}

Simplify

(8 x - 5) (x + \frac{5}{8}) : \frac{( 8 x - 5 ) ( x \cdot 8 + 5 )}{8}

= \frac{\frac{( 8 x - 5 ) ( x \cdot 8 + 5 )}{8}}{8}

Apply the fraction rule:

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

= \frac{( 8 x - 5 ) ( x \cdot 8 + 5 )}{8 \cdot 8}

Multiply the numbers:

8 \cdot 8 = 64

= \frac{( 8 x - 5 ) ( x \cdot 8 + 5 )}{64}

= \frac{( 8 x - 5 ) ( 8 x + 5 )}{64}

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