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9y^{2}-6yx+x^{2}-39-2\left(3y-x\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3y-x\right)^{2}.
9y^{2}-6yx+x^{2}-39-6y+2x
Use the distributive property to multiply -2 by 3y-x.
9y^{2}-6yx+x^{2}-39-2\left(3y-x\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3y-x\right)^{2}.
9y^{2}-6yx+x^{2}-39-6y+2x
Use the distributive property to multiply -2 by 3y-x.