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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

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

Factor out

cos (x)

from

2 cos^{2} (x) - cos (x) : cos (x) (2 cos (x) - 1)

Factor out

2

from

4 cos (x) - 2 : 2 (2 cos (x) - 1)

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

Factor out common term

2 cos (x) - 1

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

25 e^{2} - 16

8^{2} + 8 x - 6

(sin (3 x))^{2}

(\frac{d y}{d x})^{4}

a^{2 x + 6} - 9 b^{6 y}

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