Evaluate
-3\left(x-2\right)^{2}+4
Expand
-3x^{2}+12x-8
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-3\left(x^{2}-4x+4\right)+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
-3x^{2}+12x-12+4
Use the distributive property to multiply -3 by x^{2}-4x+4.
-3x^{2}+12x-8
Add -12 and 4 to get -8.
-3\left(x^{2}-4x+4\right)+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
-3x^{2}+12x-12+4
Use the distributive property to multiply -3 by x^{2}-4x+4.
-3x^{2}+12x-8
Add -12 and 4 to get -8.
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