vereinfachen (x^2+y)^2(x^2-y)^2(y^4+y^2)

Lösung

vereinfachen

(x^{2} + y)^{2} (x^{2} - y)^{2} (y^{4} + y^{2})

(x^{2} + y)^{2} (x^{2} - y)^{2} (y^{4} + y^{2})

Schritte zur Lösung

(x^{2} + y)^{2} (x^{2} - y)^{2} (y^{4} + y^{2})

Wende Exponentenregel an:

a^{m} b^{m} = (ab)^{m},

angenommen

a \geq 0, b \geq 0

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

= ((x^{2} + y) (x^{2} - y))^{2} (y^{4} + y^{2})

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

= (x^{2} + y)^{2} (x^{2} - y)^{2} (y^{4} + y^{2})

s im pl i f y (25) (35)

s im pl i f y \frac{1}{2} (1.67 \cdot 1 0^{- 27}) (1.3 \cdot 1 0^{6})^{2}

s im pl i f y \frac{1}{2} e^{\frac{x}{2}} \cdot e^{- x}

s im pl i f y 6 e^{- 6}

s im pl i f y 3 (2 x^{2} - 3)^{2}