vereinfachen x^2(y^2+1)+y^2(x^2+1)-3x^2y^2

Lösung

vereinfachen

x^{2} (y^{2} + 1) + y^{2} (x^{2} + 1) - 3 x^{2} y^{2}

- 2 x^{2} y^{2} + x^{2} + y^{2} x^{2} + y^{2}

Schritte zur Lösung

x^{2} (y^{2} + 1) + y^{2} (x^{2} + 1) - 3 x^{2} y^{2}

Schreibe

x^{2} (y^{2} + 1)

um:

x^{2} y^{2} + x^{2}

= x^{2} y^{2} + x^{2} + y^{2} (x^{2} + 1) - 3 x^{2} y^{2}

Schreibe

y^{2} (x^{2} + 1)

um:

y^{2} x^{2} + y^{2}

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

Fasse gleiche Terme zusammen

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

Addiere gleiche Elemente:

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

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

\frac{7}{8} \div 2

s im pl i f y \frac{1}{2} + 3

s im pl i f y \frac{7 x}{16}

e x p an d (5 x - 2) (25 x^{2} + 10 x + 4)

e x p an d (3 x + y^{2})^{3}