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3\left(4a^{2}bx-5a^{2}by\right)
Factor out 3.
a^{2}b\left(4x-5y\right)
Consider 4a^{2}bx-5a^{2}by. Factor out a^{2}b.
3a^{2}b\left(4x-5y\right)
Rewrite the complete factored expression.