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factor the expression completely.
$x^4 - x^5 y^5$
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:
\( x^4 - x^5y^5 = x^4(1 - xy^5) \)
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\( x^4(1 - xy^5) \)