vereinfachen ((-2xy)^3(3ab^2)^2(-ax^2y^3))/((-3ab^2)^2(2xy^2)^3)

Lösung

vereinfachen

\frac{( - 2 x y ) ^{3} ( 3 a b ^{2} ) ^{2} ( - a x ^{2} y ^{3} )}{( - 3 a b ^{2} ) ^{2} ( 2 x y ^{2} ) ^{3}}

a x^{2}

Schritte zur Lösung

\frac{( - 2 x y ) ^{3} ( 3 a b ^{2} ) ^{2} ( - a x ^{2} y ^{3} )}{( - 3 a b ^{2} ) ^{2} ( 2 x y ^{2} ) ^{3}}

Entferne die Klammern:

(- a) = - a

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

- (- 2 x y)^{3} (3 a b^{2})^{2} a x^{2} y^{3} = a x^{2} (2 x y^{2})^{3} (3 a b^{2})^{2}

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

(- 3 a b^{2})^{2} (2 x y^{2})^{3} = (3 a b^{2})^{2} (2 x y^{2})^{3}

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

Streiche die gemeinsamen Faktoren:

(2 x y^{2})^{3}

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

Streiche die gemeinsamen Faktoren:

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

= a x^{2}

(3 k - 1)^{2} = - 8

4 r^{2} + 20 r + 25 = 0

s im pl i f y \frac{2}{5} \cdot 20

f a c t or x^{3} - 9 x^{2} + 108

20 x^{2} - 7 x - 6 = 0