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The first step, no matter what you are factoring, is always to factor out the '''Greatest Common Factor''', commonly referred to as the '''GCF'''.<br />
:<math>2a^2b^3+4a^4b^4c^3-2a^3b^3=2a^2b^3(1+2a^2bc^3-a)\,\!</math>
where
: <math>mn = a,\ pq = c\,\!</math>
and
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