erweitern (3/2-x/4)((2-x)/3)^2

Lösung

erweitern

(\frac{3}{2} - \frac{x}{4}) (\frac{2 - x}{3})^{2}

\frac{( 2 - x ) ^{2}}{6} - \frac{( 2 - x ) ^{2} x}{36}

Schritte zur Lösung

(\frac{3}{2} - \frac{x}{4}) (\frac{2 - x}{3})^{2}

= (\frac{2 - x}{3})^{2} (\frac{3}{2} - \frac{x}{4})

Wende das Distributivgesetz an:

a (b - c) = ab - a c

(\frac{2 - x}{3})^{2} (\frac{3}{2} - \frac{x}{4}) = (\frac{2 - x}{3})^{2} \frac{3}{2} - (\frac{2 - x}{3})^{2} \frac{x}{4}

= (\frac{2 - x}{3})^{2} \frac{3}{2} - (\frac{2 - x}{3})^{2} \frac{x}{4}

Vereinfache

(\frac{2 - x}{3})^{2} \frac{3}{2} - (\frac{2 - x}{3})^{2} \frac{x}{4} : \frac{( 2 - x ) ^{2}}{6} - \frac{( 2 - x ) ^{2} x}{36}

= \frac{( 2 - x ) ^{2}}{6} - \frac{( 2 - x ) ^{2} x}{36}

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