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

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

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

factor

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

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

Solution steps

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

Break the expression into groups

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

Factor out

cos (x)

from

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

Factor out

- 3

from

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

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

Factor out common term

cos (x) + 1

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

(x - 2) (2 x + 1)

(x + y)^{2} - 10 (x + y) - 24

6 + 10

(a^{2} + b^{2}) - 2 ab

[m + n] - 2 mn + n^{2}

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