Answer
-4$x^{2}$ + 10$y^{2}$
Work Step by Step
(4$x^{2}$ - 6xy + 9$y^{2}$) - (8$x^{2}$ - 6xy - $y^{2}$)
= 4$x^{2}$ - 6xy + 9$y^{2}$ - 8$x^{2}$ + 6xy + $y^{2}$
= -4$x^{2}$ + 10$y^{2}$
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