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10\left(4x^{3}+5x^{2}y-12xy^{2}\right)
Factor out 10.
x\left(4x^{2}+5xy-12y^{2}\right)
Consider 4x^{3}+5x^{2}y-12xy^{2}. Factor out x.
10x\left(4x^{2}+5xy-12y^{2}\right)
Rewrite the complete factored expression.