Expand
3x^{2}-18xy+27y^{2}
Evaluate
3\left(x-3y\right)^{2}
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3\left(x^{2}-6xy+9y^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3y\right)^{2}.
3x^{2}-18xy+27y^{2}
Use the distributive property to multiply 3 by x^{2}-6xy+9y^{2}.
3\left(x^{2}-6xy+9y^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3y\right)^{2}.
3x^{2}-18xy+27y^{2}
Use the distributive property to multiply 3 by x^{2}-6xy+9y^{2}.
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