Solve 4left(cos(x)right)^3+4*(left(cos(x)right)^3-3cos(x)

$$4 { \left( \cos ( x ) \right) }^{ 3 } +4 \times ( { \left( \cos ( x ) \right) }^{ 3 } -3 \cos ( x )$$

Factor

$$4\cos(x)\left(2\left(\cos(x)\right)^{2}-3\right)$$

Solution Steps

Factor out 4.

$$4\cos(x)\left(\left(\cos(x)\right)^{2}+\left(\cos(x)\right)^{2}-3\right)$$

Consider \cos(x)\left(\left(\cos(x)\right)^{2}+\left(\cos(x)\right)^{2}-3\right). Factor out \cos(x).

$$\cos(x)\left(\left(\cos(x)\right)^{2}+\left(\cos(x)\right)^{2}-3\right)$$

Rewrite the complete factored expression.

$$4\cos(x)\left(\left(\cos(x)\right)^{2}+\left(\cos(x)\right)^{2}-3\right)$$

Evaluate

$$4\cos(x)\left(2\left(\cos(x)\right)^{2}-3\right)$$