展开 ((2s-105)(4s-10945))/8

解答

展开

\frac{( 2 s - 105 ) ( 4 s - 10945 )}{8}

s^{2} - \frac{11155 s}{4} + \frac{1149225}{8}

求解步骤

\frac{( 2 s - 105 ) ( 4 s - 10945 )}{8}

乘开

(2 s - 105) (4 s - 10945) : 8 s^{2} - 22310 s + 1149225

= \frac{8 s ^{2} - 22310 s + 1149225}{8}

使用分式法则:

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

\frac{8 s ^{2} - 22310 s + 1149225}{8} = \frac{8 s ^{2}}{8} - \frac{22310 s}{8} + \frac{1149225}{8}

= \frac{8 s ^{2}}{8} - \frac{22310 s}{8} + \frac{1149225}{8}

数字相除:

\frac{8}{8} = 1

= s^{2} - \frac{22310 s}{8} + \frac{1149225}{8}

消掉

\frac{22310 s}{8} : \frac{11155 s}{4}

= s^{2} - \frac{11155 s}{4} + \frac{1149225}{8}

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