展开 ((5x^2-15))/(10x)

解答

展开

\frac{( 5 x ^{2} - 15 )}{10 x}

\frac{x}{2} - \frac{3}{2 x}

求解步骤

\frac{5 x ^{2} - 15}{10 x}

分解

5 x^{2} - 15 : 5 (x^{2} - 3)

= \frac{5 ( x ^{2} - 3 )}{10 x}

约分:

5

= \frac{x ^{2} - 3}{2 x}

使用分式法则:

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

\frac{x ^{2} - 3}{2 x} = \frac{x ^{2}}{2 x} - \frac{3}{2 x}

= \frac{x ^{2}}{2 x} - \frac{3}{2 x}

消掉

\frac{x ^{2}}{2 x} : \frac{x}{2}

= \frac{x}{2} - \frac{3}{2 x}

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

e x p an d \frac{5 ( y - 1 ) ^{2}}{2}

e x p an d e^{- 0.5 x} \cdot (4 - x) - 2

e x p an d - (- 3^{2})

e x p an d \frac{2 ( b + 5500 )}{5}