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\left(x-y\right)^{2}-3^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}, where a=x-y and b=3.
x^{2}-2xy+y^{2}-3^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-y\right)^{2}.
x^{2}-2xy+y^{2}-9
Calculate 3 to the power of 2 and get 9.
\left(x-y\right)^{2}-3^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}, where a=x-y and b=3.
x^{2}-2xy+y^{2}-3^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-y\right)^{2}.
x^{2}-2xy+y^{2}-9
Calculate 3 to the power of 2 and get 9.