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Beliebt Algebra >

erweitern (cos^2(x)+sec^2(x))(cos^2(x)-2)

Lösung

erweitern

(cos^{2} (x) + sec^{2} (x)) (cos^{2} (x) - 2)

Lösung

cos^{4} (x) - 2 cos^{2} (x) + sec^{2} (x) cos^{2} (x) - 2 sec^{2} (x)

Schritte zur Lösung

(cos^{2} (x) + sec^{2} (x)) (cos^{2} (x) - 2)

Apply FOIL method

(cos^{2} (x) + sec^{2} (x)) (cos^{2} (x) - 2) : cos^{4} (x) - 2 cos^{2} (x) + sec^{2} (x) cos^{2} (x) - 2 sec^{2} (x)

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

Beliebte Beispiele

erweitern ((x^2-1)^4)/4

e x p an d \frac{( x ^{2} - 1 ) ^{4}}{4}

erweitern 1/(x(x-a)^2)

e x p an d \frac{1}{x ( x - a ) ^{2}}

erweitern (2(3x+1)(x^3+sqrt(2x-7)))/(x^6-2x+7)

e x p an d \frac{2 ( 3 x + 1 ) ( x ^{3} + 2 x - 7 )}{x ^{6} - 2 x + 7}

vereinfachen (-1)^n(1-1/n)

s im pl i f y (- 1)^{n} (1 - \frac{1}{n})

erweitern (x-5)^2e^x

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