展开 ((a-2)^2)/a

解答

展开

\frac{( a - 2 ) ^{2}}{a}

a - 4 + \frac{4}{a}

求解步骤

\frac{( a - 2 ) ^{2}}{a}

(a - 2)^{2} = a^{2} - 4 a + 4

= \frac{a ^{2} - 4 a + 4}{a}

使用分式法则:

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

\frac{a ^{2} - 4 a + 4}{a} = \frac{a ^{2}}{a} - \frac{4 a}{a} + \frac{4}{a}

= \frac{a ^{2}}{a} - \frac{4 a}{a} + \frac{4}{a}

消掉

\frac{a ^{2}}{a} : a

= a - \frac{4 a}{a} + \frac{4}{a}

消掉

\frac{4 a}{a} : 4

= a - 4 + \frac{4}{a}

e x p an d (2 - e^{t})^{2}

e x p an d \frac{( x + h ) ^{2} - 5 ( x + h ) + 6}{h}

e x p an d \frac{( e ^{8} - 1 ) ^{2}}{4 e ^{8}} + 1

e x p an d e^{t} u (t - 1)

e x p an d \frac{( y - ( ( x + 1 ) \cdot 4 ) )}{x}