faktorisieren (((ab)^2(a^2b^2))^3)/((a^3b^3)^2)

Lösung

faktorisieren

\frac{( ( ab ) ^{2} ( a ^{2} b ^{2} ) ) ^{3}}{( a ^{3} b ^{3} ) ^{2}}

a^{6} b^{6}

Schritte zur Lösung

\frac{( ( ab ) ^{2} ( a ^{2} b ^{2} ) ) ^{3}}{( a ^{3} b ^{3} ) ^{2}}

Entferne die Klammern:

(a) = a

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

((ab)^{2} a^{2} b^{2})^{3} = ((a^{2} b^{2})^{2})^{3}

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

Vereinfache

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

Faktorisiere

(a^{3} b^{3})^{2} : a^{6} b^{6}

= \frac{a ^{12} b ^{12}}{a ^{6} b ^{6}}

Streiche

\frac{a ^{12} b ^{12}}{a ^{6} b ^{6}} : a^{6} b^{6}

= a^{6} b^{6}

2 j > 6

f a c t or 10 b^{4} - 23 b^{2} + 12

(- 3 (0) + 1) (0 - 5) > 0

2 x - 6 > 3 x - 11

- x^{2} + 18 x - 81 \leq 0