erweitern (4pi(3r^2+3hr+h^2))/3

Lösung

erweitern

\frac{4 π ( 3 r ^{2} + 3 h r + h ^{2} )}{3}

4 π r^{2} + 4 πh r + \frac{4 π h ^{2}}{3}

Schritte zur Lösung

\frac{4 π ( 3 r ^{2} + 3 h r + h ^{2} )}{3}

Multipliziere aus

4 π (3 r^{2} + 3 h r + h^{2}) : 12 π r^{2} + 12 πh r + 4 π h^{2}

= \frac{12 π r ^{2} + 12 πh r + 4 π h ^{2}}{3}

Wende Bruchregel an:

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

\frac{12 π r ^{2} + 12 πh r + 4 π h ^{2}}{3} = \frac{12 π r ^{2}}{3} + \frac{12 πh r}{3} + \frac{4 π h ^{2}}{3}

= \frac{12 π r ^{2}}{3} + \frac{12 πh r}{3} + \frac{4 π h ^{2}}{3}

Teile die Zahlen:

\frac{12}{3} = 4

= 4 π r^{2} + 4 πh r + \frac{4 π h ^{2}}{3}

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