Evaluate
-2x\left(x-6\right)+3
Expand
3+12x-2x^{2}
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-2\left(x^{2}-6x+9-9\right)+3
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
-2\left(x^{2}-6x\right)+3
Subtract 9 from 9 to get 0.
-2x^{2}+12x+3
Use the distributive property to multiply -2 by x^{2}-6x.
-2\left(x^{2}-6x+9-9\right)+3
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
-2\left(x^{2}-6x\right)+3
Subtract 9 from 9 to get 0.
-2x^{2}+12x+3
Use the distributive property to multiply -2 by x^{2}-6x.
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