Evaluate
\left(3x-2y+18\right)\left(-2\left(x+9\right)+x-2y\right)
Expand
-3x^{2}-4xy-72x+4y^{2}-324
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x^{2}-4xy+4y^{2}-4\left(x+9\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2y\right)^{2}.
x^{2}-4xy+4y^{2}-4\left(x^{2}+18x+81\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+9\right)^{2}.
x^{2}-4xy+4y^{2}-4x^{2}-72x-324
Use the distributive property to multiply -4 by x^{2}+18x+81.
-3x^{2}-4xy+4y^{2}-72x-324
Combine x^{2} and -4x^{2} to get -3x^{2}.
x^{2}-4xy+4y^{2}-4\left(x+9\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2y\right)^{2}.
x^{2}-4xy+4y^{2}-4\left(x^{2}+18x+81\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+9\right)^{2}.
x^{2}-4xy+4y^{2}-4x^{2}-72x-324
Use the distributive property to multiply -4 by x^{2}+18x+81.
-3x^{2}-4xy+4y^{2}-72x-324
Combine x^{2} and -4x^{2} to get -3x^{2}.
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