What is factor 2cos^2(x)-cos(x)-1 ?

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

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factor 2cos^2(x)-cos(x)-1

factor

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

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

Solution steps

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

Break the expression into groups

= (2 cos^{2} (x) + cos (x)) + (- 2 cos (x) - 1)

Factor out

cos (x)

from

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

Factor out

- 1

from

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

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

Factor out common term

2 cos (x) + 1

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

(\frac{d x}{d x})^{2}

0.16 x^{2} + 0.48 x y + 0.36 y^{2}

(x^{2} y) + (x y^{2})

1 - e^{3}

e^{4} - 4

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