展开 ((t+1)y)/(t^2)

解答

展开

\frac{( t + 1 ) y}{t ^{2}}

\frac{y}{t} + \frac{y}{t ^{2}}

求解步骤

\frac{( t + 1 ) y}{t ^{2}}

乘开

(t + 1) y : t y + y

= \frac{t y + y}{t ^{2}}

使用分式法则:

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

\frac{t y + y}{t ^{2}} = \frac{t y}{t ^{2}} + \frac{y}{t ^{2}}

= \frac{t y}{t ^{2}} + \frac{y}{t ^{2}}

消掉

\frac{t y}{t ^{2}} : \frac{y}{t}

= \frac{y}{t} + \frac{y}{t ^{2}}

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