Evaluate
-3\left(x-2\right)^{2}+14
Expand
2+12x-3x^{2}
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14-3\left(x^{2}-4x+4\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
14-3x^{2}+12x-12
Use the distributive property to multiply -3 by x^{2}-4x+4.
2-3x^{2}+12x
Subtract 12 from 14 to get 2.
14-3\left(x^{2}-4x+4\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
14-3x^{2}+12x-12
Use the distributive property to multiply -3 by x^{2}-4x+4.
2-3x^{2}+12x
Subtract 12 from 14 to get 2.
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