Question

factor out the greatest common factor. if the greatest common factor is 1, just retype the polynomial. 16u³ + 4u²

Explanation:

Step1: Find GCF of coefficients and variables

For coefficients 16 and 4, GCF is 4. For variables \(u^3\) and \(u^2\), GCF is \(u^2\). So GCF is \(4u^2\).

Step2: Factor out GCF from each term

\(16u^3 + 4u^2 = 4u^2(4u) + 4u^2(1)\)

Step3: Apply distributive property

\(4u^2(4u + 1)\)

Answer:

\(4u^2(4u + 1)\)