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受欢迎的代数 >

展开 ((2x^4-3x^2+6x^5-x^3))/((2x^2))

解答

展开

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

解答

3 x^{3} + x^{2} - \frac{x}{2} - \frac{3}{2}

求解步骤

\frac{2 x ^{4} - 3 x ^{2} + 6 x ^{5} - x ^{3}}{2 x ^{2}}

分解

2 x^{4} - 3 x^{2} + 6 x^{5} - x^{3} : x^{2} (2 x^{2} - 3 + 6 x^{3} - x)

= \frac{x ^{2} ( 2 x ^{2} - 3 + 6 x ^{3} - x )}{2 x ^{2}}

约分:

x^{2}

= \frac{2 x ^{2} - 3 + 6 x ^{3} - x}{2}

使用分式法则:

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

\frac{2 x ^{2} - 3 + 6 x ^{3} - x}{2} = \frac{2 x ^{2}}{2} - \frac{3}{2} + \frac{6 x ^{3}}{2} - \frac{x}{2}

= \frac{2 x ^{2}}{2} - \frac{3}{2} + \frac{6 x ^{3}}{2} - \frac{x}{2}

数字相除:

\frac{2}{2} = 1

= x^{2} - \frac{3}{2} + \frac{6 x ^{3}}{2} - \frac{x}{2}

数字相除:

\frac{6}{2} = 3

= x^{2} - \frac{3}{2} + 3 x^{3} - \frac{x}{2}

改写为标准形式

= 3 x^{3} + x^{2} - \frac{x}{2} - \frac{3}{2}

流行的例子

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