化简 x((sqrt(3)x)/4+(10-3x)/2)

解答

化简

x (\frac{3 x}{4} + \frac{10 - 3 x}{2})

\frac{x ( x ( - 6 + 3 ) + 20 )}{4}

求解步骤

x (\frac{3 x}{4} + \frac{10 - 3 x}{2})

合并

\frac{3 x}{4} + \frac{10 - 3 x}{2} : \frac{x ( - 6 + 3 ) + 20}{4}

= x \frac{x ( - 6 + 3 ) + 20}{4}

使用分式法则:

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

= \frac{x ( x ( - 6 + 3 ) + 20 )}{4}

e x p an d 3 (2 x^{3} + 1) (x^{4} + 2 x)^{\frac{1}{2}}

e x p an d (X^{4} - 2 X^{2} + 2) l e f t (X^{2} - 2 X + 3)

e x p an d - \frac{- sin ( θ ) + x cos ( θ )}{( cos ( θ ) + x sin ( θ ) ) ^{2}}

s im pl i f y e^{(1 + 2 i) x}

e x p an d (1 - t) (4, 6, 6) + t (6, 7, 2)