erweitern-(L^2(3P+2WL))/(48)

Lösung

erweitern

- \frac{L ^{2} ( 3 P + 2 W L )}{48}

- \frac{L ^{2} P}{16} - \frac{L ^{3} W}{24}

Schritte zur Lösung

- \frac{L ^{2} ( 3 P + 2 W L )}{48}

Multipliziere aus

L^{2} (3 P + 2 W L) : 3 L^{2} P + 2 L^{3} W

= - \frac{2 L ^{3} W + 3 L ^{2} P}{48}

Wende Bruchregel an:

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

\frac{3 L ^{2} P + 2 L ^{3} W}{48} = - (\frac{3 L ^{2} P}{48}) - (\frac{2 L ^{3} W}{48})

= - (\frac{3 L ^{2} P}{48}) - (\frac{2 L ^{3} W}{48})

Entferne die Klammern:

(a) = a

= - \frac{3 L ^{2} P}{48} - \frac{2 L ^{3} W}{48}

Streiche

\frac{3 L ^{2} P}{48} : \frac{L ^{2} P}{16}

= - \frac{L ^{2} P}{16} - \frac{2 L ^{3} W}{48}

Streiche

\frac{2 L ^{3} W}{48} : \frac{L ^{3} W}{24}

= - \frac{L ^{2} P}{16} - \frac{L ^{3} W}{24}

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