erweitern ((1+x)^2)/(100)

Lösung

erweitern

\frac{( 1 + x ) ^{2}}{100}

\frac{x ^{2}}{100} + \frac{x}{50} + \frac{1}{100}

Schritte zur Lösung

\frac{( 1 + x ) ^{2}}{100}

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

= \frac{1 + 2 x + x ^{2}}{100}

Wende Bruchregel an:

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

\frac{1 + 2 x + x ^{2}}{100} = \frac{1}{100} + \frac{2 x}{100} + \frac{x ^{2}}{100}

= \frac{1}{100} + \frac{2 x}{100} + \frac{x ^{2}}{100}

Streiche

\frac{2 x}{100} : \frac{x}{50}

= \frac{1}{100} + \frac{x}{50} + \frac{x ^{2}}{100}

Rewrite in standard form

= \frac{x ^{2}}{100} + \frac{x}{50} + \frac{1}{100}

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

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

e x p an d - x (cos (ln (x)) - sin (ln (x)))

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

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