Question

factor $20c^2 - 8c^3$.

Explanation:

Step1: Identify GCF

Find GCF of \(20c^2\) and \(8c^3\). GCF of 20 and 8 is 4, GCF of \(c^2\) and \(c^3\) is \(c^2\). So GCF is \(4c^2\).

Step2: Divide each term by GCF

Divide \(20c^2\) by \(4c^2\): \(\frac{20c^2}{4c^2}=5\). Divide \(-8c^3\) by \(4c^2\): \(\frac{-8c^3}{4c^2}=-2c\).

Step3: Write factored form

Factor out GCF: \(4c^2(5 - 2c)\).

Answer:

\(4c^2(5 - 2c)\)