erweitern ((1+x)^2)/4

Lösung

erweitern

\frac{( 1 + x ) ^{2}}{4}

\frac{x ^{2}}{4} + \frac{x}{2} + \frac{1}{4}

Schritte zur Lösung

\frac{( 1 + x ) ^{2}}{4}

(1 + x)^{2} = 1 + 2 x + x^{2}

= \frac{1 + 2 x + x ^{2}}{4}

Wende Bruchregel an:

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

\frac{1 + 2 x + x ^{2}}{4} = \frac{1}{4} + \frac{2 x}{4} + \frac{x ^{2}}{4}

= \frac{1}{4} + \frac{2 x}{4} + \frac{x ^{2}}{4}

Streiche

\frac{2 x}{4} : \frac{x}{2}

= \frac{1}{4} + \frac{x}{2} + \frac{x ^{2}}{4}

Rewrite in standard form

= \frac{x ^{2}}{4} + \frac{x}{2} + \frac{1}{4}

e x p an d 12 (\frac{X - 7}{4} + \frac{25 ( X - 2 )}{3} = \frac{5 X + 35}{4} + \frac{5}{2} (X - 7))

e x p an d f (x) (\frac{2 ( x - 1 )}{3} + \frac{3 ( 2 x + 1 )}{9} = 9)

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

e x p an d (3 x - y^{2} + 1) d x

e x p an d V (- 4, - 3) \cdot P (- 7, - 6)