展开 (4(2x+y))/(xy)

解答

展开

\frac{4 ( 2 x + y )}{x y}

\frac{8}{y} + \frac{4}{x}

求解步骤

\frac{4 ( 2 x + y )}{x y}

乘开

4 (2 x + y) : 8 x + 4 y

= \frac{8 x + 4 y}{x y}

使用分式法则:

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

\frac{8 x + 4 y}{x y} = \frac{8 x}{x y} + \frac{4 y}{x y}

= \frac{8 x}{x y} + \frac{4 y}{x y}

消掉

\frac{8 x}{x y} : \frac{8}{y}

= \frac{8}{y} + \frac{4 y}{x y}

消掉

\frac{4 y}{x y} : \frac{4}{x}

= \frac{8}{y} + \frac{4}{x}

s im pl i f y (2 cos (t) - 2 sin (t)) \cdot (- 2 sin (t))

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

e x p an d \frac{2 ( - 1 ) ^{k} + 3 ( - 1 ) ^{k - 1} + 2 \cdot 3 ^{1 + k} + 5}{2}

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

e x p an d det (2 (A^{t} + B^{t})^{3})