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2ax\left(-7x+5a\right)-3y^{2}\left(-7x+5a\right)
Do the grouping 10a^{2}x+21xy^{2}-14ax^{2}-15ay^{2}=\left(-14ax^{2}+10a^{2}x\right)+\left(21xy^{2}-15ay^{2}\right), and factor out 2ax in the first and -3y^{2} in the second group.
\left(-7x+5a\right)\left(2ax-3y^{2}\right)
Factor out common term -7x+5a by using distributive property.