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Beliebt Algebra >

faktorisieren 0.008f^6+g^3h^9

Lösung

faktorisieren

0.008 f^{6} + g^{3} h^{9}

Lösung

(0.2 f^{2} + g h^{3}) (0.04 f^{4} - 0.2 f^{2} g h^{3} + g^{2} h^{6})

Schritte zur Lösung

0.008 f^{6} + g^{3} h^{9}

Schreibe

g^{3} h^{9}

um:

(g h^{3})^{3}

= 0.008 f^{6} + (g h^{3})^{3}

Schreibe

0.008 f^{6} + (g h^{3})^{3}

um:

(3 0.008 f^{2})^{3} + (g h^{3})^{3}

= (3 0.008 f^{2})^{3} + (g h^{3})^{3}

Wende Formel zur Summe von dritten Potenzen an:

x^{3} + y^{3} = (x + y) (x^{2} - x y + y^{2})

(3 0.008 f^{2})^{3} + (g h^{3})^{3} = (3 0.008 f^{2} + g h^{3}) ((3 0.008)^{2} f^{4} - 3 0.008 f^{2} g h^{3} + (g h^{3})^{2})

= (3 0.008 f^{2} + g h^{3}) ((3 0.008)^{2} f^{4} - 3 0.008 f^{2} g h^{3} + (g h^{3})^{2})

Fasse zusammen

= (3 0.008 f^{2} + g h^{3}) (0.00 8^{\frac{2}{3}} f^{4} - 3 0.008 f^{2} g h^{3} + (g h^{3})^{2})

Vereinfache

(3 0.008 f^{2} + g h^{3}) (0.00 8^{\frac{2}{3}} f^{4} - 3 0.008 f^{2} g h^{3} + (g h^{3})^{2}) : (3 0.008 f^{2} + g h^{3}) (0.00 8^{\frac{2}{3}} f^{4} - 3 0.008 f^{2} g h^{3} + g^{2} h^{6})

= (3 0.008 f^{2} + g h^{3}) (0.00 8^{\frac{2}{3}} f^{4} - 3 0.008 f^{2} g h^{3} + g^{2} h^{6})

3 0.008 = 0.2

= (0.2 f^{2} + g h^{3}) (0.00 8^{\frac{2}{3}} f^{4} - 3 0.008 f^{2} g h^{3} + g^{2} h^{6})

0.00 8^{\frac{2}{3}} = 0.04

= (0.2 f^{2} + g h^{3}) (0.04 f^{4} - 3 0.008 f^{2} g h^{3} + g^{2} h^{6})

3 0.008 = 0.2

= (0.2 f^{2} + g h^{3}) (0.04 f^{4} - 0.2 f^{2} g h^{3} + g^{2} h^{6})

Beliebte Beispiele

f(x)=[cos(x)+sin(x)]

f (x) = [cos (x) + sin (x)]

faktorisieren 81x6-(y+1)2

f a c t or 81 x 6 - (y + 1) 2

faktorisieren 2ax+2ay+3bx+3by

f a c t or 2 a x + 2 a y + 3 b x + 3 b y

faktorisieren \sqrt[3]{39-6sqrt(2)}

f a c t or 3 39 - 62

vereinfachen V(2.6)

s im pl i f y V (2.6)