展开 (c+4e^2-3s^4)^2

解答

展开

(c + 4 e^{2} - 3 s^{4})^{2}

- 24 e^{2} s^{4} - 6 c s^{4} + 9 s^{8} + 16 e^{4} + c^{2} + 8 e^{2} c

求解步骤

(c + 4 e^{2} - 3 s^{4})^{2}

(c + 4 e^{2} - 3 s^{4})^{2} = (c + 4 e^{2} - 3 s^{4}) (c + 4 e^{2} - 3 s^{4})

= (- 3 s^{4} + c + 4 e^{2}) (- 3 s^{4} + c + 4 e^{2})

乘开

(c + 4 e^{2} - 3 s^{4}) (c + 4 e^{2} - 3 s^{4}) : - 24 e^{2} s^{4} - 6 c s^{4} + 9 s^{8} + 16 e^{4} + c^{2} + 8 e^{2} c

= - 24 e^{2} s^{4} - 6 c s^{4} + 9 s^{8} + 16 e^{4} + c^{2} + 8 e^{2} c

e x p an d \frac{x y}{( x + y ) ^{2}}

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

e x p an d - \frac{2 ( - 9 x cos ( 9 x ) + sin ( 9 x ) )}{2187}

e x p an d (1 - 2 x + x^{2})^{5}

e x p an d (3 x^{2} - 5 x) e^{x}