What is factor 1+3sin(x)-4sin^3(x) ?

The solution to factor 1+3sin(x)-4sin^3(x) is -(sin(x)-1)(2sin(x)+1)^2

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factor 1+3sin(x)-4sin^3(x)

factor

1 + 3 sin (x) - 4 sin^{3} (x)

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

Solution steps

1 + 3 sin (x) - 4 sin^{3} (x)

Factor out common term

- 1

= - (4 sin^{3} (x) - 3 sin (x) - 1)

Factor

4 sin^{3} (x) - 3 sin (x) - 1 : (sin (x) - 1) (2 sin (x) + 1) (2 sin (x) + 1)

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

Refine

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

5 x^{2} + 17 - 12

125 x^{6} - 27 y^{3} z^{9}

x \cdot e^{3 t} + y \cdot e^{t}

x^{(3)} + 3 x^{''} + 4 x

[sin (y) - 2 sin (x^{2}) sin (2 y)]

What is factor 1+3sin(x)-4sin^3(x) ?
The solution to factor 1+3sin(x)-4sin^3(x) is -(sin(x)-1)(2sin(x)+1)^2