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31\left(3a^{3}x^{2}y^{2}-2a^{2}x^{3}y^{2}-4a^{2}x\right)
Factor out 31.
a^{2}x\left(3axy^{2}-2x^{2}y^{2}-4\right)
Consider 3a^{3}x^{2}y^{2}-2a^{2}x^{3}y^{2}-4a^{2}x. Factor out a^{2}x.
31a^{2}x\left(3axy^{2}-2x^{2}y^{2}-4\right)
Rewrite the complete factored expression.