What is (z+3/5)(z-3/5) ?

The solution to (z+3/5)(z-3/5) is ((5z+3)(5z-3))/(25)

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simplify (z+3/5)(z-3/5)

simplify

(z + \frac{3}{5}) (z - \frac{3}{5})

\frac{( 5 z + 3 ) ( 5 z - 3 )}{25}

Solution steps

(z + \frac{3}{5}) (z - \frac{3}{5})

Simplify

z + \frac{3}{5} : \frac{5 z + 3}{5}

= \frac{5 z + 3}{5} (z - \frac{3}{5})

Apply the fraction rule:

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

= \frac{( 5 z + 3 ) ( z - \frac{3}{5} )}{5}

Simplify

(5 z + 3) (z - \frac{3}{5}) : \frac{( 5 z + 3 ) ( z \cdot 5 - 3 )}{5}

= \frac{\frac{( 5 z + 3 ) ( z \cdot 5 - 3 )}{5}}{5}

Apply the fraction rule:

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

= \frac{( 5 z + 3 ) ( z \cdot 5 - 3 )}{5 \cdot 5}

Multiply the numbers:

5 \cdot 5 = 25

= \frac{( 5 z + 3 ) ( z \cdot 5 - 3 )}{25}

= \frac{( 5 z + 3 ) ( 5 z - 3 )}{25}

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