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factor out the greatest common factor. if the greatest common factor is…

Question

factor out the greatest common factor. if the greatest common factor is 1, just retype the polynomial. 16y³ - 2y

Explanation:

Step1: Find GCF of coefficients and variables

For coefficients 16 and 2, GCF is 2. For variables \(y^3\) and \(y\), GCF is \(y\). So GCF is \(2y\).

Step2: Factor out GCF

Divide each term by \(2y\): \(\frac{16y^3}{2y} - \frac{2y}{2y} = 8y^2 - 1\). Then factor: \(2y(8y^2 - 1)\)

Answer:

\(2y(8y^2 - 1)\)