x^2-6xy+9y^2-1=

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x^2-6xy+9y^2-1=
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x^2-6xy+9y^2-1=
x^2-6xy+9y^2-1=

x^2-6xy+9y^2-1=
x^2-6xy+9y^2-1
=(x-y)^2-1
=(x-y+1)(x-y-1)

x^2-6xy+9y^2-1
=(x-y)^2-1
=(x-y+1)(x-y-1)
x^2-6xy+9y^2-1
=(x-y)^2-1
=(x-y+1)(x-y-1)