展开 (5(3b^2+4b-6))/4

解答

展开

\frac{5 ( 3 b ^{2} + 4 b - 6 )}{4}

\frac{15 b ^{2}}{4} + 5 b - \frac{15}{2}

求解步骤

\frac{5 ( 3 b ^{2} + 4 b - 6 )}{4}

乘开

5 (3 b^{2} + 4 b - 6) : 15 b^{2} + 20 b - 30

= \frac{15 b ^{2} + 20 b - 30}{4}

使用分式法则:

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

\frac{15 b ^{2} + 20 b - 30}{4} = \frac{15 b ^{2}}{4} + \frac{20 b}{4} - \frac{30}{4}

= \frac{15 b ^{2}}{4} + \frac{20 b}{4} - \frac{30}{4}

数字相除:

\frac{20}{4} = 5

= \frac{15 b ^{2}}{4} + 5 b - \frac{30}{4}

消掉

\frac{30}{4} : \frac{15}{2}

= \frac{15 b ^{2}}{4} + 5 b - \frac{15}{2}

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