展开 (a+bsqrt(2))(c+dsqrt(2))(e+fsqrt(2))

解答

展开

(a + b 2) (c + d 2) (e + f 2)

e a c + 2 a c f + 2 e a d + 2 a df + 2 e b c + 2 b c f + 2 e b d + 22 b df

求解步骤

(a + b 2) (c + d 2) (e + f 2)

= (a + 2 b) (c + 2 d) (e + 2 f)

乘开

(a + b 2) (c + d 2) : a c + 2 a d + 2 b c + 2 b d

= (a c + 2 a d + 2 b c + 2 b d) (e + f 2)

乘开

(a c + 2 a d + 2 b c + 2 b d) (e + f 2) : e a c + 2 a c f + 2 e a d + 2 a df + 2 e b c + 2 b c f + 2 e b d + 22 b df

= e a c + 2 a c f + 2 e a d + 2 a df + 2 e b c + 2 b c f + 2 e b d + 22 b df

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

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

e x p an d \frac{( 2 11 - 1 ) ( 3 + 2 2 )}{5}

e x p an d (1 + cos (θ)) sin (θ)

e x p an d (x - 2 x y) d y