Evaluate
-\frac{\left(x-60\right)^{2}}{4}-20x
Expand
-\frac{x^{2}}{4}+10x-900
Graph
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-20x+100-\frac{1}{4}\left(x^{2}-120x+3600\right)-100
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-60\right)^{2}.
-20x+100-\frac{1}{4}x^{2}+30x-900-100
Use the distributive property to multiply -\frac{1}{4} by x^{2}-120x+3600.
10x+100-\frac{1}{4}x^{2}-900-100
Combine -20x and 30x to get 10x.
10x-800-\frac{1}{4}x^{2}-100
Subtract 900 from 100 to get -800.
10x-900-\frac{1}{4}x^{2}
Subtract 100 from -800 to get -900.
-20x+100-\frac{1}{4}\left(x^{2}-120x+3600\right)-100
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-60\right)^{2}.
-20x+100-\frac{1}{4}x^{2}+30x-900-100
Use the distributive property to multiply -\frac{1}{4} by x^{2}-120x+3600.
10x+100-\frac{1}{4}x^{2}-900-100
Combine -20x and 30x to get 10x.
10x-800-\frac{1}{4}x^{2}-100
Subtract 900 from 100 to get -800.
10x-900-\frac{1}{4}x^{2}
Subtract 100 from -800 to get -900.
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