Evaluate
-2\left(x-5\right)^{2}+20
Expand
-2x^{2}+20x-30
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-2\left(x^{2}-10x+25\right)+20
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
-2x^{2}+20x-50+20
Use the distributive property to multiply -2 by x^{2}-10x+25.
-2x^{2}+20x-30
Add -50 and 20 to get -30.
-2\left(x^{2}-10x+25\right)+20
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-5\right)^{2}.
-2x^{2}+20x-50+20
Use the distributive property to multiply -2 by x^{2}-10x+25.
-2x^{2}+20x-30
Add -50 and 20 to get -30.
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