erweitern rotacional(x^3y+y^5z^2)

Lösung

erweitern

ro t a c i o na l (x^{3} y + y^{5} z^{2})

i (a^{2} c l n r o^{2} t x^{3} y + a^{2} c l n r o^{2} t y^{5} z^{2})

Schritte zur Lösung

ro t a c i o na l (x^{3} y + y^{5} z^{2})

= iaa c l n roo t (x^{3} y + y^{5} z^{2})

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = ro t a c i o na l, b = x^{3} y, c = y^{5} z^{2}

= ro t a c i o na l x^{3} y + ro t a c i o na l y^{5} z^{2}

= iaa c l n roo t x^{3} y + iaa c l n roo t y^{5} z^{2}

Vereinfache

iaa c l n roo t x^{3} y + iaa c l n roo t y^{5} z^{2} : i (a^{2} c l n r o^{2} t x^{3} y + a^{2} c l n r o^{2} t y^{5} z^{2})

= i (a^{2} c l n r o^{2} t x^{3} y + a^{2} c l n r o^{2} t y^{5} z^{2})

e x p an d so l v e (x - 6) (x - 5)

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

e x p an d 7 x^{(\frac{1}{2})}

e x p an d (3 d + 1) (e - 2)

e x p an d \frac{( x + 1 ) ^{3}}{x ^{4}}