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2\left(2x^{3}+23x^{2}y-51xy^{2}\right)
Factor out 2.
x\left(2x^{2}+23xy-51y^{2}\right)
Consider 2x^{3}+23x^{2}y-51xy^{2}. Factor out x.
2x\left(2x^{2}+23xy-51y^{2}\right)
Rewrite the complete factored expression.