# Factor out the GCF from the polynomial a^9b^7 - a^5b^4 + a^4b^8 - a^4b^4

Factor out the GCF from the polynomial
${a}^{9}{b}^{7}-{a}^{5}{b}^{4}+{a}^{4}{b}^{8}-{a}^{4}{b}^{4}$
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Shyla Larson
${a}^{9}{b}^{7}-{a}^{5}{b}^{4}+{a}^{4}{b}^{8}-{a}^{4}{b}^{4}\phantom{\rule{0ex}{0ex}}={a}^{4}{b}^{4}\left[{a}^{5}{b}^{3}-a+{b}^{4}-1\right]$
Hence ${a}^{4}{b}^{4}$ in the GCF of the polynomial