展开 (4pi)/3 (4+4x+x^2)

解答

展开

\frac{4 π}{3} (4 + 4 x + x^{2})

\frac{4 π x ^{2}}{3} + \frac{16 π x}{3} + \frac{16 π}{3}

求解步骤

\frac{4 π}{3} (4 + 4 x + x^{2})

打开括号

= \frac{4 π}{3} \cdot 4 + \frac{4 π}{3} \cdot 4 x + \frac{4 π}{3} x^{2}

= 4 \cdot \frac{4 π}{3} + 4 \cdot \frac{4 π}{3} x + \frac{4 π}{3} x^{2}

化简

4 \cdot \frac{4 π}{3} + 4 \cdot \frac{4 π}{3} x + \frac{4 π}{3} x^{2} : \frac{4 π x ^{2}}{3} + \frac{16 π x}{3} + \frac{16 π}{3}

= \frac{4 π x ^{2}}{3} + \frac{16 π x}{3} + \frac{16 π}{3}

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