展开 (10sqrt(-(x-4)x)(x^2-3x-2))/((x-4)x)

解答

展开

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

\frac{10 x ^{2} - x ^{2} + 4 x - 30 x - x ^{2} + 4 x - 20 - x ^{2} + 4 x}{x ^{2} - 4 x}

求解步骤

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

- (x - 4) x = - x^{2} + 4 x

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

乘开

(x - 4) x : x^{2} - 4 x

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

乘开

10 - x^{2} + 4 x (x^{2} - 3 x - 2) : 10 x^{2} - x^{2} + 4 x - 30 x - x^{2} + 4 x - 20 - x^{2} + 4 x

= \frac{10 x ^{2} - x ^{2} + 4 x - 30 x - x ^{2} + 4 x - 20 - x ^{2} + 4 x}{x ^{2} - 4 x}

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