Evaluate
\frac{2782601x^{2}}{10000}-\frac{45969x}{25}+3294
Expand
\frac{2782601x^{2}}{10000}-\frac{45969x}{25}+3294
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9x^{2}-150x+625+\left(10x-35\right)^{2}+\left(13.01x-38\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-25\right)^{2}.
9x^{2}-150x+625+100x^{2}-700x+1225+\left(13.01x-38\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(10x-35\right)^{2}.
109x^{2}-150x+625-700x+1225+\left(13.01x-38\right)^{2}
Combine 9x^{2} and 100x^{2} to get 109x^{2}.
109x^{2}-850x+625+1225+\left(13.01x-38\right)^{2}
Combine -150x and -700x to get -850x.
109x^{2}-850x+1850+\left(13.01x-38\right)^{2}
Add 625 and 1225 to get 1850.
109x^{2}-850x+1850+169.2601x^{2}-988.76x+1444
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(13.01x-38\right)^{2}.
278.2601x^{2}-850x+1850-988.76x+1444
Combine 109x^{2} and 169.2601x^{2} to get 278.2601x^{2}.
278.2601x^{2}-1838.76x+1850+1444
Combine -850x and -988.76x to get -1838.76x.
278.2601x^{2}-1838.76x+3294
Add 1850 and 1444 to get 3294.
9x^{2}-150x+625+\left(10x-35\right)^{2}+\left(13.01x-38\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-25\right)^{2}.
9x^{2}-150x+625+100x^{2}-700x+1225+\left(13.01x-38\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(10x-35\right)^{2}.
109x^{2}-150x+625-700x+1225+\left(13.01x-38\right)^{2}
Combine 9x^{2} and 100x^{2} to get 109x^{2}.
109x^{2}-850x+625+1225+\left(13.01x-38\right)^{2}
Combine -150x and -700x to get -850x.
109x^{2}-850x+1850+\left(13.01x-38\right)^{2}
Add 625 and 1225 to get 1850.
109x^{2}-850x+1850+169.2601x^{2}-988.76x+1444
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(13.01x-38\right)^{2}.
278.2601x^{2}-850x+1850-988.76x+1444
Combine 109x^{2} and 169.2601x^{2} to get 278.2601x^{2}.
278.2601x^{2}-1838.76x+1850+1444
Combine -850x and -988.76x to get -1838.76x.
278.2601x^{2}-1838.76x+3294
Add 1850 and 1444 to get 3294.
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