Evaluate
9\left(x-y\right)^{2}+12x-36
Expand
9x^{2}-18xy+12x+9y^{2}-36
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12+12\left(x-4\right)+9\left(x-y\right)^{2}
Multiply 3 and 4 to get 12.
12+12x-48+9\left(x-y\right)^{2}
Use the distributive property to multiply 12 by x-4.
-36+12x+9\left(x-y\right)^{2}
Subtract 48 from 12 to get -36.
-36+12x+9\left(x^{2}-2xy+y^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-y\right)^{2}.
-36+12x+9x^{2}-18xy+9y^{2}
Use the distributive property to multiply 9 by x^{2}-2xy+y^{2}.
12+12\left(x-4\right)+9\left(x-y\right)^{2}
Multiply 3 and 4 to get 12.
12+12x-48+9\left(x-y\right)^{2}
Use the distributive property to multiply 12 by x-4.
-36+12x+9\left(x-y\right)^{2}
Subtract 48 from 12 to get -36.
-36+12x+9\left(x^{2}-2xy+y^{2}\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-y\right)^{2}.
-36+12x+9x^{2}-18xy+9y^{2}
Use the distributive property to multiply 9 by x^{2}-2xy+y^{2}.
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