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Beliebt Algebra >

faktorisieren 81a^{36}-64b^{16}

Lösung

faktorisieren

81 a^{36} - 64 b^{16}

Lösung

(9 a^{18} + 8 b^{8}) (9 a^{18} - 8 b^{8})

Schritte zur Lösung

81 a^{36} - 64 b^{16}

81 a^{36} = (9 a^{18})^{2}

64 b^{16} = (8 b^{8})^{2}

= (9 a^{18})^{2} - (8 b^{8})^{2}

Wende Formel zur Differenz von zwei Quadraten an:

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

(9 a^{18})^{2} - (8 b^{8})^{2} = (9 a^{18} + 8 b^{8}) (9 a^{18} - 8 b^{8})

= (9 a^{18} + 8 b^{8}) (9 a^{18} - 8 b^{8})

Beliebte Beispiele

faktorisieren 5n^6+2n^5

f a c t or 5 n^{6} + 2 n^{5}

-6(1+6x)<6(1-5x)

- 6 (1 + 6 x) < 6 (1 - 5 x)

vereinfachen (1/a+1/(a+1))/(1/a-1/(a+1))

s im pl i f y \frac{\frac{1}{a} + \frac{1}{a + 1}}{\frac{1}{a} - \frac{1}{a + 1}}

x^{2} = 63

\frac{2 + x}{3} < 3