化简 x^2*(1/(2x^{1/2)}+1)

解答

化简

x^{2} \cdot (\frac{1}{2 x ^{\frac{1}{2}}} + 1)

\frac{x ^{\frac{3}{2}} ( 2 x ^{\frac{1}{2}} + 1 )}{2}

求解步骤

x^{2} (\frac{1}{2 x ^{\frac{1}{2}}} + 1)

合并

\frac{1}{2 x ^{\frac{1}{2}}} + 1 : \frac{2 x ^{\frac{1}{2}} + 1}{2 x ^{\frac{1}{2}}}

= x^{2} \frac{2 x ^{\frac{1}{2}} + 1}{2 x ^{\frac{1}{2}}}

使用分式法则:

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

= \frac{x ^{2} ( 2 x ^{\frac{1}{2}} + 1 )}{2 x ^{\frac{1}{2}}}

化简

\frac{x ^{2}}{x ^{\frac{1}{2}}} : x^{\frac{3}{2}}

= \frac{x ^{\frac{3}{2}} ( 2 x ^{\frac{1}{2}} + 1 )}{2}

e x p an d δ, x i y y_{2} y_{3} (y_{4} - π)

e x p an d \frac{3 s - 33}{( s ^{2} + 9 ) ( s + 2 ) ( s - 1 )}

s im pl i f y 2 (x^{3} - \frac{1}{x ^{3}})

e x p an d sin (2) (x + h)

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