Evaluate
\frac{2169x^{2}}{100}+\frac{1494x}{5}+1044
Expand
\frac{2169x^{2}}{100}+\frac{1494x}{5}+1044
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1.44x^{2}+28.8x+144+\left(4.5x+30\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(1.2x+12\right)^{2}.
1.44x^{2}+28.8x+144+20.25x^{2}+270x+900
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4.5x+30\right)^{2}.
21.69x^{2}+28.8x+144+270x+900
Combine 1.44x^{2} and 20.25x^{2} to get 21.69x^{2}.
21.69x^{2}+298.8x+144+900
Combine 28.8x and 270x to get 298.8x.
21.69x^{2}+298.8x+1044
Add 144 and 900 to get 1044.
1.44x^{2}+28.8x+144+\left(4.5x+30\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(1.2x+12\right)^{2}.
1.44x^{2}+28.8x+144+20.25x^{2}+270x+900
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(4.5x+30\right)^{2}.
21.69x^{2}+28.8x+144+270x+900
Combine 1.44x^{2} and 20.25x^{2} to get 21.69x^{2}.
21.69x^{2}+298.8x+144+900
Combine 28.8x and 270x to get 298.8x.
21.69x^{2}+298.8x+1044
Add 144 and 900 to get 1044.
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