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