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factor completely: see below:
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\[12x ^{2}y(5x ^{2}-2yz ^{3})^{3}-7z ^{3}(5x ^{2}-2yz ^{3})^{3}\]
\[(12x ^{2y-7z ^{3}})(5x ^{2}-2yz ^{3})^{3}\]
??
\[(5x^{2}-2yz^{3})^{3}\] is common so factoring gives \[(5x^{2}-2yz^{3})^{3}(12x^{2}y-7z^{3})\]
ok great
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