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Beliebt Algebra >

faktorisieren 25x^4-81y^2

Lösung

faktorisieren

25 x^{4} - 81 y^{2}

Lösung

(5 x^{2} + 9 y) (5 x^{2} - 9 y)

Schritte zur Lösung

25 x^{4} - 81 y^{2}

25 x^{4} = (5 x^{2})^{2}

81 y^{2} = (9 y)^{2}

= (5 x^{2})^{2} - (9 y)^{2}

Wende Formel zur Differenz von zwei Quadraten an:

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

(5 x^{2})^{2} - (9 y)^{2} = (5 x^{2} + 9 y) (5 x^{2} - 9 y)

= (5 x^{2} + 9 y) (5 x^{2} - 9 y)

Beliebte Beispiele

6/5 x-1/3 >2x+3

\frac{6}{5} x - \frac{1}{3} > 2 x + 3

faktorisieren x^3y-25xy^3

f a c t or x^{3} y - 25 x y^{3}

|(x^2-2x-5)/(x^2+4x-7)|<1

\frac{x ^{2} - 2 x - 5}{x ^{2} + 4 x - 7} < 1

faktorisieren c^2+6c+9

f a c t or c^{2} + 6 c + 9

4 (x - 7)^{2} + 20 = 24