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-2\left(x^{2}+4x+4\right)+3
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
-2x^{2}-8x-8+3
Use the distributive property to multiply -2 by x^{2}+4x+4.
-2x^{2}-8x-5
Add -8 and 3 to get -5.
-2\left(x^{2}+4x+4\right)+3
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
-2x^{2}-8x-8+3
Use the distributive property to multiply -2 by x^{2}+4x+4.
-2x^{2}-8x-5
Add -8 and 3 to get -5.