Evaluate
\left(x-3y\right)^{2}+27y-9x+5
Expand
x^{2}-6xy-9x+9y^{2}+27y+5
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x^{2}-6xy+9y^{2}-9\left(x-3y\right)+5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3y\right)^{2}.
x^{2}-6xy+9y^{2}-9x+27y+5
Use the distributive property to multiply -9 by x-3y.
x^{2}-6xy+9y^{2}-9\left(x-3y\right)+5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3y\right)^{2}.
x^{2}-6xy+9y^{2}-9x+27y+5
Use the distributive property to multiply -9 by x-3y.
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