展开 (2sqrt(x)+3)(2sqrt(x-3))

解答

展开

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

4 x^{2} - 3 x + 6 x - 3

求解步骤

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

使用分配律:

a (b + c) = ab + a c

a = (2 x - 3), b = 2 x, c = 3

= (2 x - 3) \cdot 2 x + (2 x - 3) \cdot 3

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

化简

2 x (2 x - 3) + 3 (2 x - 3) : 4 x^{2} - 3 x + 6 x - 3

= 4 x^{2} - 3 x + 6 x - 3

e x p an d \frac{2 3 ( x - 2 π )}{3} - \frac{3}{2}

e x p an d (3 x^{2} + 5 x - 6) l e f t (- x^{2} - 2 x + 12) + (x^{2} + 2 x - 3)

e x p an d e (f + g)

e x p an d (x - 1) \cdot e^{x + 1}

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