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受欢迎的代数 >

展开-((x-1)(10x^2-30x-63))/(10)

解答

展开

- \frac{( x - 1 ) ( 10 x ^{2} - 30 x - 63 )}{10}

解答

- x^{3} + 4 x^{2} + \frac{33 x}{10} - \frac{63}{10}

求解步骤

- \frac{( x - 1 ) ( 10 x ^{2} - 30 x - 63 )}{10}

乘开

(x - 1) (10 x^{2} - 30 x - 63) : 10 x^{3} - 40 x^{2} - 33 x + 63

= - \frac{10 x ^{3} - 40 x ^{2} - 33 x + 63}{10}

使用分式法则:

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

\frac{10 x ^{3} - 40 x ^{2} - 33 x + 63}{10} = - (\frac{10 x ^{3}}{10}) - (- \frac{40 x ^{2}}{10}) - (- \frac{33 x}{10}) - (\frac{63}{10})

= - (\frac{10 x ^{3}}{10}) - (- \frac{40 x ^{2}}{10}) - (- \frac{33 x}{10}) - (\frac{63}{10})

去除括号:

(a) = a, - (- a) = a

= - \frac{10 x ^{3}}{10} + \frac{40 x ^{2}}{10} + \frac{33 x}{10} - \frac{63}{10}

数字相除:

\frac{10}{10} = 1

= - x^{3} + \frac{40 x ^{2}}{10} + \frac{33 x}{10} - \frac{63}{10}

数字相除:

\frac{40}{10} = 4

= - x^{3} + 4 x^{2} + \frac{33 x}{10} - \frac{63}{10}

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