化简 (x-a)(x-(a+2b)/3)(x-b)

解答

化简

(x - a) \cdot (x - \frac{a + 2 b}{3}) \cdot (x - b)

\frac{( x - a ) ( 3 x - a - 2 b ) ( x - b )}{3}

求解步骤

(x - a) (x - \frac{a + 2 b}{3}) (x - b)

合并

x - \frac{a + 2 b}{3} : \frac{3 x - a - 2 b}{3}

= (x - a) \frac{3 x - a - 2 b}{3} (x - b)

使用分式法则:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( x - a ) ( 3 x - a - 2 b ) ( x - b )}{3}

e x p an d \frac{3}{4} (x - 4 = - \frac{1}{4} (x - 16))

s im pl i f y - \frac{1}{4} (- cos (8 x^{4}) + 1)

e x p an d (- 1 - i 3) (- 1 + i 3)^{'} (x - 2)^{'}

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

e x p an d lo g_{3} (5 a^{7})