How do you simplify the expression $3 {cos}^{2} x - 4 cos x - 4$ $3cos^2x-4cosx-4$ ?

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Answer 1 · 2016-09-12T13:28:50

$= (3 cos x + 2) (cos x - 2)$ $=(3cosx + 2)(cosx - 2)$

You can factor:

$3 {cos}^{2} x - 4 cos x - 4 = 3 {cos}^{2} x - 6 cos x + 2 cos x - 4$ $3cos^2x - 4cosx - 4 = 3cos^2x - 6cosx + 2cosx - 4$

$= 3 cos x (cos x - 2) + 2 (cos x - 1)$ $=3cosx(cosx - 2) + 2(cosx - 1)$

$= (3 cos x + 2) (cos x - 2)$ $=(3cosx + 2)(cosx - 2)$

Hopefully this helps!

How do you simplify the expression 3cos2x−4cosx−43cos^2x-4cosx-4?