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

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

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

factor

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

(2 sin (x) + 1) (sin (x) - 1)

Solution steps

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

Break the expression into groups

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

Factor out

sin (x)

from

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

Factor out

- 1

from

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

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

Factor out common term

2 sin (x) + 1

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

(- 82) + (- 3 n)

(i \cdot j) \cdot k

e^{x} cos (x) - e^{x} sin (x)

cos^{3} (θ) + sin^{3} (θ)

15 a^{2} - 21 c a + 30 a e - 42

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