Expand
-5x^{2}-50x-122
Evaluate
-5\left(x+5\right)^{2}+3
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-5\left(x^{2}+10x+25\right)+3
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5\right)^{2}.
-5x^{2}-50x-125+3
Use the distributive property to multiply -5 by x^{2}+10x+25.
-5x^{2}-50x-122
Add -125 and 3 to get -122.
-5\left(x^{2}+10x+25\right)+3
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5\right)^{2}.
-5x^{2}-50x-125+3
Use the distributive property to multiply -5 by x^{2}+10x+25.
-5x^{2}-50x-122
Add -125 and 3 to get -122.
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