展开 (2a+b)^2+(2c+d)^2+(2e+f)^2

解答

展开

(2 a + b)^{2} + (2 c + d)^{2} + (2 e + f)^{2}

4 a^{2} + 4 ab + b^{2} + 4 c^{2} + 4 c d + d^{2} + 4 e^{2} + 4 e f + f^{2}

求解步骤

(2 a + b)^{2} + (2 c + d)^{2} + (2 e + f)^{2}

(2 a + b)^{2} : 4 a^{2} + 4 ab + b^{2}

= 4 a^{2} + 4 ab + b^{2} + (2 c + d)^{2} + (2 e + f)^{2}

(2 c + d)^{2} : 4 c^{2} + 4 c d + d^{2}

= 4 a^{2} + 4 ab + b^{2} + 4 c^{2} + 4 c d + d^{2} + (2 e + f)^{2}

(2 e + f)^{2} : 4 e^{2} + 4 e f + f^{2}

= 4 a^{2} + 4 ab + b^{2} + 4 c^{2} + 4 c d + d^{2} + 4 e^{2} + 4 e f + f^{2}

e x p an d (- 1 + \frac{x}{y})^{3}

s im pl i f y (1 + \frac{x}{2}) (2 - 3 x)^{6}

e x p an d e^{2 x} (a cos (5 x) + b sin (5 x))

e x p an d \frac{x + 8}{x ( x + 2 )}

\frac{\partial}{\partial x} ((y) (y^{5} - 3 x y))