What is (3/s-1)(3/s+1) ?

The solution to (3/s-1)(3/s+1) is ((-s+3)(s+3))/(s^2)

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simplify (3/s-1)(3/s+1)

simplify

(\frac{3}{s} - 1) (\frac{3}{s} + 1)

\frac{( - s + 3 ) ( s + 3 )}{s ^{2}}

Solution steps

(\frac{3}{s} - 1) (\frac{3}{s} + 1)

Join

\frac{3}{s} - 1 : \frac{- s + 3}{s}

= \frac{- s + 3}{s} (\frac{3}{s} + 1)

Apply the fraction rule:

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

= \frac{( - s + 3 ) ( \frac{3}{s} + 1 )}{s}

Simplify

(- s + 3) (\frac{3}{s} + 1) : \frac{( - s + 3 ) ( s + 3 )}{s}

= \frac{\frac{( - s + 3 ) ( s + 3 )}{s}}{s}

Apply the fraction rule:

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

= \frac{( - s + 3 ) ( s + 3 )}{ss}

Apply exponent rule:

aa = a^{2}

ss = s^{2}

= \frac{( - s + 3 ) ( s + 3 )}{s ^{2}}

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