vereinfachen sqrt((x^2+(y-1)^2))*sqrt(x^2+(y+1)^2)

Lösung

vereinfachen

(x^{2} + (y - 1)^{2}) \cdot x^{2} + (y + 1)^{2}

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

Schritte zur Lösung

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

Wende Radikal Regel an:

a b = a \cdot b,

angenommen

a \geq 0, b \geq 0

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

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

d o main f (x) = \frac{e ^{- 4 x}}{e ^{4 x}}

s im pl i f y x + 2^{2}

s im pl i f y (\frac{1}{3})^{4}

s im pl i f y \frac{e ^{12 x}}{e ^{\frac{4 x}{3}}}

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