vereinfachen 3x^2(x-2y)^2+9xy^2(2y-x)

Lösung

vereinfachen

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

3 x^{4} - 12 x^{3} y + 3 x^{2} y^{2} + 18 x y^{3}

Schritte zur Lösung

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

Schreibe

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

um:

3 x^{4} - 12 x^{3} y + 12 x^{2} y^{2}

= 3 x^{4} - 12 x^{3} y + 12 x^{2} y^{2} + 9 x y^{2} (2 y - x)

Schreibe

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

um:

18 x y^{3} - 9 x^{2} y^{2}

= 3 x^{4} - 12 x^{3} y + 12 x^{2} y^{2} + 18 x y^{3} - 9 x^{2} y^{2}

Fasse gleiche Terme zusammen

= 3 x^{4} - 12 x^{3} y + 12 x^{2} y^{2} - 9 x^{2} y^{2} + 18 x y^{3}

Addiere gleiche Elemente:

12 x^{2} y^{2} - 9 x^{2} y^{2} = 3 x^{2} y^{2}

= 3 x^{4} - 12 x^{3} y + 3 x^{2} y^{2} + 18 x y^{3}

s im pl i f y \frac{2}{2 + 7}

f a c t or z^{2} + 13 z + 36

- 24 = 5 r + 3 r

f a c t or 2 x^{2} - 10

0.35 x + 350 = 0