Evaluate
-3\left(x+2\right)^{2}+6
Expand
-3x^{2}-12x-6
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-3\left(x^{2}+4x+4\right)+6
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
-3x^{2}-12x-12+6
Use the distributive property to multiply -3 by x^{2}+4x+4.
-3x^{2}-12x-6
Add -12 and 6 to get -6.
-3\left(x^{2}+4x+4\right)+6
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
-3x^{2}-12x-12+6
Use the distributive property to multiply -3 by x^{2}+4x+4.
-3x^{2}-12x-6
Add -12 and 6 to get -6.
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