展开 ((X-4)^2)/2

解答

展开

\frac{( X - 4 ) ^{2}}{2}

\frac{X ^{2}}{2} - 4 X + 8

求解步骤

\frac{( X - 4 ) ^{2}}{2}

(X - 4)^{2} = X^{2} - 8 X + 16

= \frac{X ^{2} - 8 X + 16}{2}

使用分式法则:

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

\frac{X ^{2} - 8 X + 16}{2} = \frac{X ^{2}}{2} - \frac{8 X}{2} + \frac{16}{2}

= \frac{X ^{2}}{2} - \frac{8 X}{2} + \frac{16}{2}

数字相除:

\frac{8}{2} = 4

= \frac{X ^{2}}{2} - 4 X + \frac{16}{2}

数字相除:

\frac{16}{2} = 8

= \frac{X ^{2}}{2} - 4 X + 8

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