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

Lösung

erweitern

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

\frac{36 - 12 x + x ^{2}}{6} - \frac{x ( 36 - 12 x + x ^{2} )}{36}

Schritte zur Lösung

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

Schreibe

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

um:

\frac{3}{2} \cdot \frac{36 - 12 x + x ^{2}}{9}

= \frac{3}{2} \cdot \frac{36 - 12 x + x ^{2}}{9} - \frac{x}{4} (2 - \frac{x}{3})^{2}

Schreibe

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

um:

- \frac{x}{4} \cdot \frac{36 - 12 x + x ^{2}}{9}

= \frac{3}{2} \cdot \frac{36 - 12 x + x ^{2}}{9} - \frac{x}{4} \cdot \frac{36 - 12 x + x ^{2}}{9}

Vereinfache

\frac{3}{2} \cdot \frac{36 - 12 x + x ^{2}}{9} - \frac{x}{4} \cdot \frac{36 - 12 x + x ^{2}}{9} : \frac{36 - 12 x + x ^{2}}{6} - \frac{x ( 36 - 12 x + x ^{2} )}{36}

= \frac{36 - 12 x + x ^{2}}{6} - \frac{x ( 36 - 12 x + x ^{2} )}{36}

e x p an d \frac{( x ^{2} - 1 ) ^{3}}{( 4 x ^{3} - 5 ) ^{2}}

e x p an d sin (x) (sin (x) \cdot cos (x) - 2)

e x p an d R (7, - 8) y S (- 1, 2)

e x p an d (x - x - 2) (x + 4)

e x p an d \frac{x}{( x + c ) ^{2}}