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

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

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

factor

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

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

Solution steps

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

Write in the standard form

a x^{2} + b x + c

= 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)

(15 + 7)^{3} (15 - 7)^{3}

\frac{x ^{2} - 5 x + 6}{2 x + 6}

\frac{10 + 2 5}{2}

x 2 - 2 x + 8

x yz + 4 x y + x z + 4 x + 2 yz + 8 y + 2 z + 8

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