展开 ((x^2+8)2)/(x^4)

解答

展开

\frac{( x ^{2} + 8 ) 2}{x ^{4}}

\frac{2}{x ^{2}} + \frac{16}{x ^{4}}

求解步骤

\frac{( x ^{2} + 8 ) \cdot 2}{x ^{4}}

乘开

(x^{2} + 8) \cdot 2 : 2 x^{2} + 16

= \frac{2 x ^{2} + 16}{x ^{4}}

使用分式法则:

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

\frac{2 x ^{2} + 16}{x ^{4}} = \frac{2 x ^{2}}{x ^{4}} + \frac{16}{x ^{4}}

= \frac{2 x ^{2}}{x ^{4}} + \frac{16}{x ^{4}}

消掉

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

= \frac{2}{x ^{2}} + \frac{16}{x ^{4}}

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