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question factor the expression completely. $x^4 - x^5 y^5$

Question

question
factor the expression completely.
$x^4 - x^5 y^5$

Explanation:

Step1: Identify the GCF

Find the greatest common factor (GCF) of the two terms \( x^4 \) and \( -x^5y^5 \). The GCF of \( x^4 \) and \( x^5y^5 \) is \( x^4 \).

Step2: Factor out the GCF

Factor out \( x^4 \) from each term:
\( x^4 - x^5y^5 = x^4(1 - xy^5) \)

Answer:

\( x^4(1 - xy^5) \)