erweitern (x^2y^2= y/x+2cx)*x

Lösung

erweitern

(x^{2} y^{2} = \frac{y}{x} + 2 c x) \cdot x

x^{3} y^{2} = \frac{y}{x} + 2 c x^{2}

Schritte zur Lösung

(x^{2} y^{2} = \frac{y}{x} + 2 c x) x

= x (= \frac{y}{x} x^{2} y^{2} + 2 c x)

Wende das Distributivgesetz an:

a (b + c) = ab + a c

a = x, b = x^{2} y^{2} = \frac{y}{x}, c = 2 c x

x x^{2} y^{2} = \frac{y}{x} + x \cdot 2 c x

x^{2} x y^{2} = \frac{y}{x} + 2 c xx

Vereinfache

x^{2} x y^{2} = \frac{y}{x} + 2 c xx : x^{3} y^{2} = \frac{y}{x} + 2 c x^{2}

x^{3} y^{2} = \frac{y}{x} + 2 c x^{2}

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

s im pl i f y (x + 25) (x - 25) (x + 3)

e x p an d (1 + \frac{1}{4} y)^{6}

e x p an d (x^{2} - 1) y^{3} d x + x^{2} d y

s im pl i f y (s + 4 - 7 i)^{2}