erweitern (a^2+b^2)/((3)(a^2+4+b^2))

Lösung

erweitern

\frac{a ^{2} + b ^{2}}{( 3 ) ( a ^{2} + 4 + b ^{2} )}

\frac{a ^{2} + b ^{2}}{3 a ^{2} + 12 + 3 b ^{2}}

Schritte zur Lösung

\frac{a ^{2} + b ^{2}}{( 3 ) ( a ^{2} + 4 + b ^{2} )}

Entferne die Klammern:

(a) = a

= \frac{a ^{2} + b ^{2}}{3 ( a ^{2} + 4 + b ^{2} )}

Multipliziere aus

3 (a^{2} + 4 + b^{2}) : 3 a^{2} + 12 + 3 b^{2}

= \frac{a ^{2} + b ^{2}}{3 a ^{2} + 12 + 3 b ^{2}}

e x p an d \frac{x ( x - 1 )}{( x + 6 ) ( x - 5 )}

e x p an d \frac{4 ( x - 1 ) ^{2}}{x ^{2} - 4 x + 5}

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

e x p an d \frac{15 x ^{2} + 24 x - 25}{( 5 x + 4 ) ^{2}}

e x p an d \frac{( x + 6 ) ( x + 2 )}{( x - 3 ) ( x - 2 )}