化简 (a-1/b)*(a+1/b)

解答

化简

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

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

求解步骤

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

合并

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

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

使用分式法则:

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

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

化简

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

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

使用分式法则:

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

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

使用指数法则:

aa = a^{2}

bb = b^{2}

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

e x p an d \frac{( s + 2 ) ( 2 s + 1 )}{( 3 s - 1 ) ( s - 3 )}

e x p an d (8, - 2) y (- 8, - 2)

e x p an d \frac{( ( s + 2 ) ( s + 3 ) ( s + 5 ) )}{( s + 10 )}

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

e x p an d (3 + 3 x)^{5}