erweitern ((12+3x)x)/(20)

Lösung

erweitern

\frac{( 12 + 3 x ) x}{20}

\frac{3 x ^{2}}{20} + \frac{3 x}{5}

Schritte zur Lösung

\frac{( 12 + 3 x ) x}{20}

Multipliziere aus

(12 + 3 x) x : 12 x + 3 x^{2}

= \frac{12 x + 3 x ^{2}}{20}

Wende Bruchregel an:

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

\frac{12 x + 3 x ^{2}}{20} = \frac{12 x}{20} + \frac{3 x ^{2}}{20}

= \frac{12 x}{20} + \frac{3 x ^{2}}{20}

Streiche

\frac{12 x}{20} : \frac{3 x}{5}

= \frac{3 x}{5} + \frac{3 x ^{2}}{20}

Rewrite in standard form

= \frac{3 x ^{2}}{20} + \frac{3 x}{5}

e x p an d \frac{( 25 x ^{2} + 2 x ) ^{5}}{( 3 x + 8 x ^{3} ) ^{3}}

s im pl i f y f (\frac{x}{2} - 3) - 4

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

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

e x p an d (10 sin (θ) - 3)^{2}