化简 (x+8)(x-2/5)(x+2)(x-2)

解答

化简

(x + 8) (x - \frac{2}{5}) (x + 2) (x - 2)

\frac{( x + 8 ) ( 5 x - 2 ) ( x + 2 ) ( x - 2 )}{5}

求解步骤

(x + 8) (x - \frac{2}{5}) (x + 2) (x - 2)

化简

x - \frac{2}{5} : \frac{5 x - 2}{5}

= (x + 8) \frac{5 x - 2}{5} (x + 2) (x - 2)

使用分式法则:

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

= \frac{( x + 8 ) ( 5 x - 2 ) ( x + 2 ) ( x - 2 )}{5}

e x p an d \frac{x + h - x}{h}

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

s im pl i f y 3 (3 + 2)

s im pl i f y (\frac{x}{5} + 1) (\frac{x}{5} - 1)

e x p an d I n (\frac{x ^{4} y}{3 z ^{5}})