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6\left(3uv^{3}y^{6}-4u^{7}v^{8}\right)
Factor out 6.
uv^{3}\left(3y^{6}-4u^{6}v^{5}\right)
Consider 3uv^{3}y^{6}-4u^{7}v^{8}. Factor out uv^{3}.
6uv^{3}\left(3y^{6}-4u^{6}v^{5}\right)
Rewrite the complete factored expression.