erweitern (f(x^2-8+H)-x^2-8)/H

Lösung

erweitern

\frac{f ( x ^{2} - 8 + H ) - x ^{2} - 8}{H}

\frac{f x ^{2}}{H} - \frac{8 f}{H} + f - \frac{x ^{2}}{H} - \frac{8}{H}

Schritte zur Lösung

\frac{f ( x ^{2} - 8 + H ) - x ^{2} - 8}{H}

Multipliziere aus

f (x^{2} - 8 + H) - x^{2} - 8 : f x^{2} - 8 f + f H - x^{2} - 8

= \frac{f x ^{2} - 8 f + f H - x ^{2} - 8}{H}

Wende Bruchregel an:

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

\frac{f x ^{2} - 8 f + f H - x ^{2} - 8}{H} = \frac{f x ^{2}}{H} - \frac{8 f}{H} + \frac{f H}{H} - \frac{x ^{2}}{H} - \frac{8}{H}

= \frac{f x ^{2}}{H} - \frac{8 f}{H} + \frac{f H}{H} - \frac{x ^{2}}{H} - \frac{8}{H}

Streiche

\frac{f H}{H} : f

= \frac{f x ^{2}}{H} - \frac{8 f}{H} + f - \frac{x ^{2}}{H} - \frac{8}{H}

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

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

e x p an d 2 x ((2 x + 6)^{2} (x^{2} - 9))

e x p an d (0, 32 - x) \cdot (6.3 - x)

e x p an d ((1 + 5 t)^{4} e^{2 + 2 t}) 5