vereinfachen (sqrt(7)cos(x)+1)^2

Lösung

vereinfachen

(7 cos (x) + 1)^{2}

7 cos^{2} (x) + 27 cos (x) + 1

Schritte zur Lösung

(7 cos (x) + 1)^{2}

Wende Formel für perfekte quadratische Gleichungen an:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(7 cos (x) + 1)^{2} = (7 cos (x))^{2} + 27 cos (x) \cdot 1 + 1^{2}

= (7 cos (x))^{2} + 27 cos (x) \cdot 1 + 1^{2}

(7 cos (x))^{2} = 7 cos^{2} (x)

27 cos (x) \cdot 1 = 27 cos (x)

1^{2} = 1

= 7 cos^{2} (x) + 27 cos (x) + 1

\frac{\partial}{\partial x} ((z) (x^{2} + y^{2} - z^{2}))

e x p an d 4^{3}

s im pl i f y x^{2} - 2 (a + \frac{1}{a}) x + 4

s im pl i f y \frac{9 ( x - 2 ) ^{2}}{4}

e x p an d \frac{34 ( s + 4 )}{( s ^{2} + 2 s + 2 ) ( s ^{2} + 16 s + 68 )}