erweitern ((a+h)^3)/((a+h)^2+1)

Lösung

erweitern

\frac{( a + h ) ^{3}}{( a + h ) ^{2} + 1}

\frac{a ^{3} + 3 a ^{2} h + 3 a h ^{2} + h ^{3}}{a ^{2} + 2 ah + h ^{2} + 1}

Schritte zur Lösung

\frac{( a + h ) ^{3}}{( a + h ) ^{2} + 1}

(a + h)^{3} = a^{3} + 3 a^{2} h + 3 a h^{2} + h^{3}

= \frac{a ^{3} + 3 a ^{2} h + 3 a h ^{2} + h ^{3}}{( h + a ) ^{2} + 1}

Multipliziere aus

(a + h)^{2} + 1 : a^{2} + 2 ah + h^{2} + 1

= \frac{a ^{3} + 3 a ^{2} h + 3 a h ^{2} + h ^{3}}{a ^{2} + 2 ah + h ^{2} + 1}

e x p an d \frac{k ( s + 2 )}{s ^{2} - s + k s + 2 k}

e x p an d \frac{( 3 x + 10 ) ( x - 6 )}{6}

e x p an d \frac{5 ( s + 2 )}{s ( s ^{2} + 8 s + 15 )}

e x p an d \frac{8 - ( - 1 ) ^{x}}{x}

e x p an d \frac{( x - 6 ) ( x - 9 )}{10}