展开 (61(y^2-14y+49))/(12)

解答

展开

\frac{61 ( y ^{2} - 14 y + 49 )}{12}

\frac{61 y ^{2}}{12} - \frac{427 y}{6} + \frac{2989}{12}

求解步骤

\frac{61 ( y ^{2} - 14 y + 49 )}{12}

乘开

61 (y^{2} - 14 y + 49) : 61 y^{2} - 854 y + 2989

= \frac{61 y ^{2} - 854 y + 2989}{12}

使用分式法则:

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

\frac{61 y ^{2} - 854 y + 2989}{12} = \frac{61 y ^{2}}{12} - \frac{854 y}{12} + \frac{2989}{12}

= \frac{61 y ^{2}}{12} - \frac{854 y}{12} + \frac{2989}{12}

消掉

\frac{854 y}{12} : \frac{427 y}{6}

= \frac{61 y ^{2}}{12} - \frac{427 y}{6} + \frac{2989}{12}

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