展开 (uv^2+w^3)(u+ve^w)(3)

解答

展开

(u v^{2} + w^{3}) (u + v e^{w}) (3)

3 u^{2} v^{2} + 3 e^{w} u v^{3} + 3 u w^{3} + 3 e^{w} v w^{3}

求解步骤

(u v^{2} + w^{3}) (u + v e^{w}) (3)

= (3) (u v^{2} + w^{3}) (u + e^{w} v)

乘开

(u v^{2} + w^{3}) (u + v e^{w}) : u^{2} v^{2} + e^{w} u v^{3} + u w^{3} + e^{w} v w^{3}

= (3) (u^{2} v^{2} + e^{w} u v^{3} + u w^{3} + e^{w} v w^{3})

乘开

(3) (u^{2} v^{2} + e^{w} u v^{3} + u w^{3} + e^{w} v w^{3}) : 3 u^{2} v^{2} + 3 e^{w} u v^{3} + 3 u w^{3} + 3 e^{w} v w^{3}

= 3 u^{2} v^{2} + 3 e^{w} u v^{3} + 3 u w^{3} + 3 e^{w} v w^{3}

e x p an d \frac{( 3 y - a ) ^{3}}{27}

e x p an d (d - 2) e^{3}

e x p an d + 6 (- 3 x^{2} e^{- 3 x} + 2 x e^{- 3 x})

e x p an d x 2 + 8 x + 16

e x p an d \frac{- s + 11}{10 ( s ^{2} + s + 8 )}