erweitern (pi((16A^2+9)^{3/2}-27))/(72)

Lösung

erweitern

\frac{π ( ( 16 A ^{2} + 9 ) ^{\frac{3}{2}} - 27 )}{72}

\frac{π ( 16 A ^{2} + 9 ) ^{\frac{3}{2}}}{72} - \frac{3 π}{8}

Schritte zur Lösung

\frac{π ( ( 16 A ^{2} + 9 ) ^{\frac{3}{2}} - 27 )}{72}

Multipliziere aus

π ((16 A^{2} + 9)^{\frac{3}{2}} - 27) : π (16 A^{2} + 9)^{\frac{3}{2}} - 27 π

= \frac{π ( 16 A ^{2} + 9 ) ^{\frac{3}{2}} - 27 π}{72}

Wende Bruchregel an:

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

\frac{π ( 16 A ^{2} + 9 ) ^{\frac{3}{2}} - 27 π}{72} = \frac{π ( 16 A ^{2} + 9 ) ^{\frac{3}{2}}}{72} - \frac{27 π}{72}

= \frac{π ( 16 A ^{2} + 9 ) ^{\frac{3}{2}}}{72} - \frac{27 π}{72}

Streiche

\frac{27 π}{72} : \frac{3 π}{8}

= \frac{π ( 16 A ^{2} + 9 ) ^{\frac{3}{2}}}{72} - \frac{3 π}{8}

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