Finite Math Examples

$2 \cos^{3} (q) - \cos (q)$

Step 1

Factor $\cos (q)$ out of $2 \cos^{3} (q) - \cos (q)$ .

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Step 1.1

Factor $\cos (q)$ out of $2 \cos^{3} (q)$ .

$\cos (q) (2 \cos^{2} (q)) - \cos (q)$

Step 1.2

Factor $\cos (q)$ out of $- \cos (q)$ .

$\cos (q) (2 \cos^{2} (q)) + \cos (q) \cdot - 1$

Step 1.3

Factor $\cos (q)$ out of $\cos (q) (2 \cos^{2} (q)) + \cos (q) \cdot - 1$ .

$\cos (q) (2 \cos^{2} (q) - 1)$

Step 2

Apply the cosine double-angle identity.

$\cos (q) \cos (2 q)$