vereinfachen (x^2-sqrt(1-x^2))^4(x^2+sqrt(1-x^2))^4

Lösung

vereinfachen

(x^{2} - 1 - x^{2})^{4} (x^{2} + 1 - x^{2})^{4}

(x^{2} - - x^{2} + 1)^{4} (x^{2} + - x^{2} + 1)^{4}

Schritte zur Lösung

(x^{2} - 1 - x^{2})^{4} (x^{2} + 1 - x^{2})^{4}

Wende Exponentenregel an:

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

angenommen

a \geq 0, b \geq 0

(x^{2} - - x^{2} + 1)^{4} (x^{2} + - x^{2} + 1)^{4} = ((x^{2} - - x^{2} + 1) (x^{2} + - x^{2} + 1))^{4}

= ((x^{2} - - x^{2} + 1) (x^{2} + - x^{2} + 1))^{4}

Wende Exponentenregel an:

(a \cdot b)^{n} = a^{n} b^{n}

= (x^{2} - - x^{2} + 1)^{4} (x^{2} + - x^{2} + 1)^{4}

s im pl i f y 11 p^{10}

s im pl i f y (x x) (3 x x)

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

s im pl i f y 2 e^{- 2 (l n (2))}

s im pl i f y 5 \cdot (2.4 \cdot 1 0^{- 5})