化简 (x^4+2/(x^2))(x^4-2/(x^2))

解答

化简

(x^{4} + \frac{2}{x ^{2}}) (x^{4} - \frac{2}{x ^{2}})

\frac{( x ^{6} + 2 ) ( x ^{6} - 2 )}{x ^{4}}

求解步骤

(x^{4} + \frac{2}{x ^{2}}) (x^{4} - \frac{2}{x ^{2}})

合并

x^{4} + \frac{2}{x ^{2}} : \frac{x ^{6} + 2}{x ^{2}}

= \frac{x ^{6} + 2}{x ^{2}} (x^{4} - \frac{2}{x ^{2}})

使用分式法则:

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

= \frac{( x ^{6} + 2 ) ( x ^{4} - \frac{2}{x ^{2}} )}{x ^{2}}

化简

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

= \frac{\frac{( x ^{6} + 2 ) ( x ^{6} - 2 )}{x ^{2}}}{x ^{2}}

使用分式法则:

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

= \frac{( x ^{6} + 2 ) ( x ^{6} - 2 )}{x ^{2} x ^{2}}

化简

x^{2} x^{2} : x^{4}

= \frac{( x ^{6} + 2 ) ( x ^{6} - 2 )}{x ^{4}}

s im pl i f y (\frac{3 x y ^{2}}{8} - \frac{7 y}{2})^{3}

e x p an d \frac{8 x ^{2} + 8 x + 2}{( 4 x ^{2} + 1 ) ^{2}}

e x p an d (\frac{1}{2} x - \frac{1}{2}) (\frac{1}{2} x - \frac{2}{5})

e x p an d \frac{s}{( s - 4 ) ( s - 5 ) ( s - 20 )}

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