展开 (sqrt(x-1)-2)(sqrt(2)+sqrt(x-3))

解答

展开

(x - 1 - 2) (2 + x - 3)

2 x - 1 + x^{2} - 4 x + 3 - 22 - 2 x - 3

求解步骤

(x - 1 - 2) (2 + x - 3)

使用 FOIL 方法:

(a + b) (c + d) = a c + a d + b c + b d

a = x - 1, b = - 2, c = 2, d = x - 3

= x - 1 2 + x - 1 x - 3 + (- 2) 2 + (- 2) x - 3

使用加减运算法则

+ (- a) = - a

= 2 x - 1 + x - 1 x - 3 - 22 - 2 x - 3

x - 1 x - 3 = x^{2} - 4 x + 3

= 2 x - 1 + x^{2} - 4 x + 3 - 22 - 2 x - 3

e x p an d \frac{( A x + B )}{( ( x - 3 ) ( x + 2 ) )}

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

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

e x p an d \frac{4 ( x ^{2} + 6 )}{( 1 - 2 x ) ( 2 + x ) ^{2}}

j o in 4 sin (\frac{π}{3} (x - 2)) + 8