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)

3 x^{2} + 4 - 20

e^{2} - e^{3}

3 a + 3 b + a x + b x

x^{21} + 27

π (16)

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)