What is (a-1/b)*(a+1/b) ?

The solution to (a-1/b)*(a+1/b) is ((ab-1)(ab+1))/(b^2)

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simplify (a-1/b)*(a+1/b)

simplify

(a - \frac{1}{b}) \cdot (a + \frac{1}{b})

\frac{( ab - 1 ) ( ab + 1 )}{b ^{2}}

Solution steps

(a - \frac{1}{b}) (a + \frac{1}{b})

Join

a - \frac{1}{b} : \frac{ab - 1}{b}

= \frac{ab - 1}{b} (a + \frac{1}{b})

Apply the fraction rule:

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

= \frac{( ab - 1 ) ( a + \frac{1}{b} )}{b}

Simplify

(ab - 1) (a + \frac{1}{b}) : \frac{( ab - 1 ) ( ab + 1 )}{b}

= \frac{\frac{( ab - 1 ) ( ab + 1 )}{b}}{b}

Apply the fraction rule:

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

= \frac{( ab - 1 ) ( ab + 1 )}{bb}

Apply exponent rule:

aa = a^{2}

bb = b^{2}

= \frac{( ab - 1 ) ( ab + 1 )}{b ^{2}}

\frac{( s + 2 ) ( 2 s + 1 )}{( 3 s - 1 ) ( s - 3 )}

(8, - 2) y (- 8, - 2)

\frac{( ( s + 2 ) ( s + 3 ) ( s + 5 ) )}{( s + 10 )}

\frac{20 ( - e ^{- 5 s} + 1 )}{s ( s ^{2} + 20 s + 200 )}

(3 + 3 x)^{5}

What is (a-1/b)*(a+1/b) ?
The solution to (a-1/b)*(a+1/b) is ((ab-1)(ab+1))/(b^2)