展开 ((7000+x)(1076-3x))/4

解答

展开

\frac{( 7000 + x ) ( 1076 - 3 x )}{4}

- \frac{3 x ^{2}}{4} - 4981 x + 1883000

求解步骤

\frac{( 7000 + x ) ( 1076 - 3 x )}{4}

乘开

(7000 + x) (1076 - 3 x) : 7532000 - 19924 x - 3 x^{2}

= \frac{7532000 - 19924 x - 3 x ^{2}}{4}

使用分式法则:

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

\frac{7532000 - 19924 x - 3 x ^{2}}{4} = \frac{7532000}{4} - \frac{19924 x}{4} - \frac{3 x ^{2}}{4}

= \frac{7532000}{4} - \frac{19924 x}{4} - \frac{3 x ^{2}}{4}

数字相除:

\frac{7532000}{4} = 1883000

= 1883000 - \frac{19924 x}{4} - \frac{3 x ^{2}}{4}

数字相除:

\frac{19924}{4} = 4981

= 1883000 - 4981 x - \frac{3 x ^{2}}{4}

改写为标准形式

= - \frac{3 x ^{2}}{4} - 4981 x + 1883000

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