化简 (sqrt(x-1)-sqrt(2x-3))^2

解答

化简

(x - 1 - 2 x - 3)^{2}

3 x - 2 x - 1 2 x - 3 - 4

求解步骤

(x - 1 - 2 x - 3)^{2}

使用完全平方公式:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(x - 1 - 2 x - 3)^{2} = (x - 1)^{2} - 2 x - 1 2 x - 3 + (2 x - 3)^{2}

= (x - 1)^{2} - 2 x - 1 2 x - 3 + (2 x - 3)^{2}

化简

(x - 1)^{2} - 2 x - 1 2 x - 3 + (2 x - 3)^{2} : 3 x - 2 x - 1 2 x - 3 - 4

= 3 x - 2 x - 1 2 x - 3 - 4

e x p an d \frac{y ( 1 - x )}{x ( 2 y - 1 )}

e x p an d [e^{(- 4 t)} U (t - 3)]

e x p an d \frac{x + 3}{3 x}

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

s im pl i f y \frac{1}{2} + \frac{3}{32} (4 (0.4) - \frac{( 0.4 ) ^{3}}{3})