Question

question
factor completely.
31xy⁶z⁴ + 4y³z²

Explanation:

Step1: Identify the GCF

Find the greatest common factor (GCF) of the two terms. For the coefficients, GCF of 31 and 4 is 1. For variables: \(x\) appears only in the first term, so not in GCF. For \(y\): lowest power is \(y^3\). For \(z\): lowest power is \(z^2\). So GCF is \(y^3z^2\).

Step2: Factor out the GCF

Factor \(y^3z^2\) from each term: \(y^3z^2(31xy^3z^2 + 4)\)

Answer:

\(y^3z^2(31xy^3z^2 + 4)\)