展开 20/6 (8+h)^2

解答

展开

\frac{20}{6} (8 + h)^{2}

\frac{640}{3} + \frac{160 h}{3} + \frac{10 h ^{2}}{3}

求解步骤

\frac{20}{6} (8 + h)^{2}

展开

(8 + h)^{2} : 64 + 16 h + h^{2}

= \frac{20}{6} (64 + 16 h + h^{2})

使用分配律:

m (a + b + c) = ma + mb + m c

\frac{20}{6} (64 + 16 h + h^{2}) = \frac{20}{6} \cdot 64 + \frac{20}{6} \cdot 16 h + \frac{20}{6} h^{2}

= \frac{20}{6} \cdot 64 + \frac{20}{6} \cdot 16 h + \frac{20}{6} h^{2}

化简

\frac{20}{6} \cdot 64 + \frac{20}{6} \cdot 16 h + \frac{20}{6} h^{2} : \frac{640}{3} + \frac{160 h}{3} + \frac{10 h ^{2}}{3}

= \frac{640}{3} + \frac{160 h}{3} + \frac{10 h ^{2}}{3}

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