erweitern ((x+3)(x+2))/(10)

Lösung

erweitern

\frac{( x + 3 ) ( x + 2 )}{10}

\frac{x ^{2}}{10} + \frac{x}{2} + \frac{3}{5}

Schritte zur Lösung

\frac{( x + 3 ) ( x + 2 )}{10}

Multipliziere aus

(x + 3) (x + 2) : x^{2} + 5 x + 6

= \frac{x ^{2} + 5 x + 6}{10}

Wende Bruchregel an:

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

\frac{x ^{2} + 5 x + 6}{10} = \frac{x ^{2}}{10} + \frac{5 x}{10} + \frac{6}{10}

= \frac{x ^{2}}{10} + \frac{5 x}{10} + \frac{6}{10}

Streiche

\frac{5 x}{10} : \frac{x}{2}

= \frac{x ^{2}}{10} + \frac{x}{2} + \frac{6}{10}

Streiche

\frac{6}{10} : \frac{3}{5}

= \frac{x ^{2}}{10} + \frac{x}{2} + \frac{3}{5}

e x p an d (y + 1) (1 - v y) (v d y + y d v)

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

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

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

e x p an d - (1 - e) D