expandir 3/20*(16pih-pih^2)

Solução

expandir

\frac{3}{20} \cdot (16 πh - π h^{2})

- \frac{3 π h ^{2}}{20} + \frac{12 πh}{5}

Passos da solução

\frac{3}{20} (16 πh - π h^{2})

Colocar os parênteses utilizando:

a (b - c) = ab - a c

a = \frac{3}{20}, b = 16 πh, c = π h^{2}

= \frac{3}{20} \cdot 16 πh - \frac{3}{20} π h^{2}

= 16 π \frac{3}{20} h - π \frac{3}{20} h^{2}

Simplificar

16 π \frac{3}{20} h - π \frac{3}{20} h^{2} : - \frac{3 π h ^{2}}{20} + \frac{12 πh}{5}

= - \frac{3 π h ^{2}}{20} + \frac{12 πh}{5}

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