Evaluate
-2\left(x+3\right)^{2}+1
Expand
-2x^{2}-12x-17
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-2\left(x^{2}+6x+9\right)+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
-2x^{2}-12x-18+1
Use the distributive property to multiply -2 by x^{2}+6x+9.
-2x^{2}-12x-17
Add -18 and 1 to get -17.
-2\left(x^{2}+6x+9\right)+1
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+3\right)^{2}.
-2x^{2}-12x-18+1
Use the distributive property to multiply -2 by x^{2}+6x+9.
-2x^{2}-12x-17
Add -18 and 1 to get -17.
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