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expression completely. $xy^2 + x^4$

Question

expression completely.
$xy^2 + x^4$

Explanation:

Step1: Identify common factor

Both terms \(xy^2\) and \(x^4\) have a common factor of \(x\).
\(xy^2 + x^4 = x(y^2 + x^3)\)

Step2: Check for further factoring

The expression \(y^2 + x^3\) cannot be factored further using basic factoring techniques (such as difference of squares, sum/difference of cubes, etc.) over the real numbers in a simple form. So the factored form is \(x(y^2 + x^3)\).

Answer:

\(x(y^2 + x^3)\)