Evaluate
-3\left(x+2\right)^{2}+7
Expand
-3x^{2}-12x-5
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7-3\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}.
7-3x^{2}-12x-12
Use the distributive property to multiply -3 by x^{2}+4x+4.
-5-3x^{2}-12x
Subtract 12 from 7 to get -5.
7-3\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}.
7-3x^{2}-12x-12
Use the distributive property to multiply -3 by x^{2}+4x+4.
-5-3x^{2}-12x
Subtract 12 from 7 to get -5.
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