展开 sqrt((x^3-3xy)^2+(3x^2y-y^3)^2)

解答

展开

(x^{3} - 3 x y)^{2} + (3 x^{2} y - y^{3})^{2}

x^{6} - 6 x^{4} y + 9 x^{2} y^{2} + 9 x^{4} y^{2} - 6 x^{2} y^{4} + y^{6}

求解步骤

(x^{3} - 3 x y)^{2} + (3 x^{2} y - y^{3})^{2}

乘开

(x^{3} - 3 x y)^{2} + (3 x^{2} y - y^{3})^{2} : x^{6} - 6 x^{4} y + 9 x^{2} y^{2} + 9 x^{4} y^{2} - 6 x^{2} y^{4} + y^{6}

= x^{6} - 6 x^{4} y + 9 x^{2} y^{2} + 9 x^{4} y^{2} - 6 x^{2} y^{4} + y^{6}

s im pl i f y (1 - \frac{1}{z}) (1 - \frac{0.2}{z})

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

s im pl i f y - \frac{0.05}{x ( 0.056 + x )}

e x p an d \frac{d}{d x} ((x + 9) \cdot x) - 3

e x p an d (8, 7 y - 3, 3) - (7.2 y - 4.9)