What is factor 4cos^2(x)-4cos(x)-3 ?

The solution to factor 4cos^2(x)-4cos(x)-3 is (2cos(x)+1)(2cos(x)-3)

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factor 4cos^2(x)-4cos(x)-3

factor

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

(2 cos (x) + 1) (2 cos (x) - 3)

Solution steps

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

Break the expression into groups

= (4 cos^{2} (x) + 2 cos (x)) + (- 6 cos (x) - 3)

Factor out

2 cos (x)

from

4 cos^{2} (x) + 2 cos (x) : 2 cos (x) (2 cos (x) + 1)

Factor out

- 3

from

- 6 cos (x) - 3 : - 3 (2 cos (x) + 1)

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

Factor out common term

2 cos (x) + 1

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

10 x + (- 59)

20 sin (50 t) + 2 cos^{2} (16 π t)

a x - a y + 2 x - 2 y

f^{'} (x) 3 x^{3} - x

p^{2} + pq + p s + q s

What is factor 4cos^2(x)-4cos(x)-3 ?
The solution to factor 4cos^2(x)-4cos(x)-3 is (2cos(x)+1)(2cos(x)-3)