erweitern (11(x^2+2sqrt(3)xy+3y^2))/4

Lösung

erweitern

\frac{11 ( x ^{2} + 2 3 x y + 3 y ^{2} )}{4}

\frac{11 x ^{2}}{4} + \frac{11 3 x y}{2} + \frac{33 y ^{2}}{4}

Schritte zur Lösung

\frac{11 ( x ^{2} + 2 3 x y + 3 y ^{2} )}{4}

Multipliziere aus

11 (x^{2} + 23 x y + 3 y^{2}) : 11 x^{2} + 223 x y + 33 y^{2}

= \frac{11 x ^{2} + 22 3 x y + 33 y ^{2}}{4}

Wende Bruchregel an:

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

\frac{11 x ^{2} + 22 3 x y + 33 y ^{2}}{4} = \frac{11 x ^{2}}{4} + \frac{22 3 x y}{4} + \frac{33 y ^{2}}{4}

= \frac{11 x ^{2}}{4} + \frac{22 3 x y}{4} + \frac{33 y ^{2}}{4}

Streiche

\frac{22 3 x y}{4} : \frac{11 3 x y}{2}

= \frac{11 x ^{2}}{4} + \frac{11 3 x y}{2} + \frac{33 y ^{2}}{4}

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

e x p an d (2 x + y cos (x y)) d x + x cos (x y) d y

e x p an d \frac{6400 - 1600 π}{8 ( 8 + 2 π ) ^{2}}

e x p an d (x, y, z) - \frac{( - 5 x - 5 y + 5 z )}{5 3} (- 5 - 5 + 5)

e x p an d \frac{2 ( x - 5 ) ( 2 x + 5 )}{( x + 5 ) ( x + 2 )}