erweitern (4(x+y)^2)/3

Lösung

erweitern

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

\frac{4 x ^{2}}{3} + \frac{8 x y}{3} + \frac{4 y ^{2}}{3}

Schritte zur Lösung

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

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

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

Multipliziere aus

4 (x^{2} + 2 x y + y^{2}) : 4 x^{2} + 8 x y + 4 y^{2}

= \frac{4 x ^{2} + 8 x y + 4 y ^{2}}{3}

Wende Bruchregel an:

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

\frac{4 x ^{2} + 8 x y + 4 y ^{2}}{3} = \frac{4 x ^{2}}{3} + \frac{8 x y}{3} + \frac{4 y ^{2}}{3}

= \frac{4 x ^{2}}{3} + \frac{8 x y}{3} + \frac{4 y ^{2}}{3}

e x p an d 3 + (8 + 4)

e x p an d \frac{s + 5}{( s + 1 ) ( s - 3 )}

e x p an d \frac{n ( n + 1 ) ( n + 2 )}{2}

e x p an d \frac{x}{( x - 2 ) \cdot ( x + 1 )}

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