erweitern x(x^2+y^2)sqrt(x^2+y^2)

Lösung

erweitern

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

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

Schritte zur Lösung

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

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

Wende das Distributivgesetz an:

a (b + c) = ab + a c

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

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

Vereinfache

x x^{2} + y^{2} x^{2} + x x^{2} + y^{2} y^{2} : x^{3} x^{2} + y^{2} + x y^{2} x^{2} + y^{2}

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

e x p an d 50 ln (- 5) + 50 - \frac{25 ( 12 ln ( - 5 ) + 11 )}{6}

s im pl i f y (40 - x)^{2}

s im pl i f y (\frac{x ^{2} - 4}{x} - k)^{2}

s im pl i f y 5 (2 - 5)

e x p an d (f (x) = - 3 x + \frac{3}{5}) (x)