erweitern cos^2(x)(1-x)(7-x^3)

Lösung

erweitern

cos^{2} (x) (1 - x) (7 - x^{3})

7 cos^{2} (x) - cos^{2} (x) x^{3} - 7 x cos^{2} (x) + cos^{2} (x) x^{4}

Schritte zur Lösung

cos^{2} (x) (1 - x) (7 - x^{3})

Schreibe

cos^{2} (x) (1 - x) (7 - x^{3})

um:

cos^{2} (x) (7 - x^{3} - 7 x + x^{4})

= cos^{2} (x) (7 - x^{3} - 7 x + x^{4})

Setze Klammern

= cos^{2} (x) \cdot 7 + cos^{2} (x) (- x^{3}) + cos^{2} (x) (- 7 x) + cos^{2} (x) x^{4}

Vereinfache

cos^{2} (x) \cdot 7 + cos^{2} (x) (- x^{3}) + cos^{2} (x) (- 7 x) + cos^{2} (x) x^{4} : 7 cos^{2} (x) - cos^{2} (x) x^{3} - 7 x cos^{2} (x) + cos^{2} (x) x^{4}

= 7 cos^{2} (x) - cos^{2} (x) x^{3} - 7 x cos^{2} (x) + cos^{2} (x) x^{4}

e x p an d (x^{3} + 3 x^{2} - 4 x + 3)^{5}

s im pl i f y x (x - 5) (x + 5 + 22) (x + 5 - 22)

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

e x p an d \frac{( s ( s + 5 ) ( s + 6 ) ( s ^{2} + 2 s + 2 ) )}{s + 3}

s im pl i f y (\frac{226}{2} + 2) (\frac{226}{2} - 2) (11)