Question

factor the expression completely. \\( xy^2 + x^4 y^3 \\)

Explanation:

Step1: Identify the GCF

Find the greatest common factor (GCF) of the two terms \(xy^{2}\) and \(x^{4}y^{3}\). For the \(x\)-terms, the lowest power of \(x\) is \(x^1\). For the \(y\)-terms, the lowest power of \(y\) is \(y^2\). So the GCF is \(xy^{2}\).

Step2: Factor out the GCF

Factor out \(xy^{2}\) from each term:
\(xy^{2}(1 + x^{3}y)\)

Answer:

\(xy^{2}(1 + x^{3}y)\)