Question

factor out the greatest common factor. if the greatest common factor is 1, just retype the polynomial. 3y³ - 9y²

Explanation:

Step1: Find GCF of coefficients and variables

For coefficients 3 and 9, GCF is 3. For variables \(y^3\) and \(y^2\), GCF is \(y^2\). So overall GCF is \(3y^2\).

Step2: Factor out GCF

Divide each term by \(3y^2\): \(\frac{3y^3}{3y^2}-\frac{9y^2}{3y^2}=y - 3\). Then factor out \(3y^2\): \(3y^2(y - 3)\).

Answer:

\(3y^2(y - 3)\)