erweitern (9x^2-6x+81)arccsc(9x^2)

Lösung

erweitern

(9 x^{2} - 6 x + 81) arccsc (9 x^{2})

9 x^{2} arccsc (9 x^{2}) - 6 x arccsc (9 x^{2}) + 81 arccsc (9 x^{2})

Schritte zur Lösung

(9 x^{2} - 6 x + 81) arccsc (9 x^{2})

= arccsc (9 x^{2}) (9 x^{2} - 6 x + 81)

Wende das Distributivgesetz an:

m (a + b + c) = ma + mb + m c

arccsc (9 x^{2}) (9 x^{2} - 6 x + 81) = arccsc (9 x^{2}) \cdot 9 x^{2} + arccsc (9 x^{2}) (- 6 x) + arccsc (9 x^{2}) \cdot 81

= arccsc (9 x^{2}) \cdot 9 x^{2} + arccsc (9 x^{2}) (- 6 x) + arccsc (9 x^{2}) \cdot 81

Vereinfache

arccsc (9 x^{2}) \cdot 9 x^{2} + arccsc (9 x^{2}) (- 6 x) + arccsc (9 x^{2}) \cdot 81 : 9 x^{2} arccsc (9 x^{2}) - 6 x arccsc (9 x^{2}) + 81 arccsc (9 x^{2})

= 9 x^{2} arccsc (9 x^{2}) - 6 x arccsc (9 x^{2}) + 81 arccsc (9 x^{2})

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