erweitern (x^2(x+h)-x^2)/h

Lösung

erweitern

\frac{x ^{2} ( x + h ) - x ^{2}}{h}

\frac{x ^{3}}{h} + x^{2} - \frac{x ^{2}}{h}

Schritte zur Lösung

\frac{x ^{2} ( x + h ) - x ^{2}}{h}

Multipliziere aus

x^{2} (x + h) - x^{2} : x^{3} + x^{2} h - x^{2}

= \frac{x ^{3} + x ^{2} h - x ^{2}}{h}

Wende Bruchregel an:

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

\frac{x ^{3} + x ^{2} h - x ^{2}}{h} = \frac{x ^{3}}{h} + \frac{x ^{2} h}{h} - \frac{x ^{2}}{h}

= \frac{x ^{3}}{h} + \frac{x ^{2} h}{h} - \frac{x ^{2}}{h}

Streiche

\frac{x ^{2} h}{h} : x^{2}

= \frac{x ^{3}}{h} + x^{2} - \frac{x ^{2}}{h}

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

e x p an d, (q + r + p s) + (p + s)

e x p an d ((5 x + 2) (x + 9)) x

e x p an d (a - b = 3,) (a^{2} - b^{2} = 33)

e x p an d \frac{( X + 40 ) ( X + 82 )}{2}