展开-((h-8)(h-12))/4

解答

展开

- \frac{( h - 8 ) ( h - 12 )}{4}

- \frac{h ^{2}}{4} + 5 h - 24

求解步骤

- \frac{( h - 8 ) ( h - 12 )}{4}

乘开

(h - 8) (h - 12) : h^{2} - 20 h + 96

= - \frac{h ^{2} - 20 h + 96}{4}

使用分式法则:

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

\frac{h ^{2} - 20 h + 96}{4} = - (\frac{h ^{2}}{4}) - (- \frac{20 h}{4}) - (\frac{96}{4})

= - (\frac{h ^{2}}{4}) - (- \frac{20 h}{4}) - (\frac{96}{4})

去除括号:

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

= - \frac{h ^{2}}{4} + \frac{20 h}{4} - \frac{96}{4}

数字相除:

\frac{20}{4} = 5

= - \frac{h ^{2}}{4} + 5 h - \frac{96}{4}

数字相除:

\frac{96}{4} = 24

= - \frac{h ^{2}}{4} + 5 h - 24

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