Evaluate
2\left(x-3\right)^{2}-3
Expand
2x^{2}-12x+15
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2\left(x^{2}-6x+9\right)-3
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
2x^{2}-12x+18-3
Use the distributive property to multiply 2 by x^{2}-6x+9.
2x^{2}-12x+15
Subtract 3 from 18 to get 15.
2\left(x^{2}-6x+9\right)-3
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
2x^{2}-12x+18-3
Use the distributive property to multiply 2 by x^{2}-6x+9.
2x^{2}-12x+15
Subtract 3 from 18 to get 15.
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