How can the centrifugal force be expressed using the angular velocity and the position vector after

How can the centrifugal force be expressed using the angular velocity and the position vector after expanding the vector triple product?

By applying the vector triple product identity with A=ω,B=ω,C=xA=\omega, B=\omega, C=x, the centrifugal force $F_c$ is expressed as: Fc=m[ω(ωx)ω2x]F_c=m\left[\omega(\omega \cdot x)-\omega^2 x\right]

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