化简 x^2*(50+(3sqrt(x))/2)-1000sqrt(x)

解答

化简

x^{2} \cdot (50 + \frac{3 x}{2}) - 1000 x

\frac{x ^{2} ( 100 + 3 x )}{2} - 1000 x

求解步骤

x^{2} (50 + \frac{3 x}{2}) - 1000 x

合并

50 + \frac{3 x}{2} : \frac{100 + 3 x}{2}

= x^{2} \frac{100 + 3 x}{2} - 1000 x

化简

x^{2} \frac{100 + 3 x}{2} : \frac{x ^{2} ( 100 + 3 x )}{2}

= \frac{x ^{2} ( 100 + 3 x )}{2} - 1000 x

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e x p an d \frac{5 x ^{2} - 14 x + 13}{( x + 1 ) ( x - 3 ) ^{2}}

\frac{\partial}{\partial x} ((y) (- \frac{6}{x ^{2}} + \frac{1}{6}))