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-2\left(x^{2}+2x+1\right)-3
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
-2x^{2}-4x-2-3
Use the distributive property to multiply -2 by x^{2}+2x+1.
-2x^{2}-4x-5
Subtract 3 from -2 to get -5.
-2\left(x^{2}+2x+1\right)-3
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
-2x^{2}-4x-2-3
Use the distributive property to multiply -2 by x^{2}+2x+1.
-2x^{2}-4x-5
Subtract 3 from -2 to get -5.