erweitern (2*(x+y)^2)/3

Lösung

erweitern

\frac{2 \cdot ( x + y ) ^{2}}{3}

\frac{2 x ^{2}}{3} + \frac{4 x y}{3} + \frac{2 y ^{2}}{3}

Schritte zur Lösung

\frac{2 ( x + y ) ^{2}}{3}

(x + y)^{2} = x^{2} + 2 x y + y^{2}

= \frac{2 ( x ^{2} + 2 x y + y ^{2} )}{3}

Multipliziere aus

2 (x^{2} + 2 x y + y^{2}) : 2 x^{2} + 4 x y + 2 y^{2}

= \frac{2 x ^{2} + 4 x y + 2 y ^{2}}{3}

Wende Bruchregel an:

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

\frac{2 x ^{2} + 4 x y + 2 y ^{2}}{3} = \frac{2 x ^{2}}{3} + \frac{4 x y}{3} + \frac{2 y ^{2}}{3}

= \frac{2 x ^{2}}{3} + \frac{4 x y}{3} + \frac{2 y ^{2}}{3}

e x p an d \frac{( 2 x + 3 )}{( x - 2 ) ^{2}}

e x p an d (a sin (t) cos (p) - d sin (p))^{2}

e x p an d 4 (2 x y + 4 y - 3) d x + (x + 2)^{2} d y

e x p an d - \frac{6}{( x - 6 ) ^{2}}

\frac{\partial}{\partial u} ((y) (u + v))