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1300x^{2}-5400x+8100
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1300x^{2}-5400x+8100
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8100-5400x+900x^{2}+\left(20x\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(90-30x\right)^{2}.
8100-5400x+900x^{2}+20^{2}x^{2}
Expand \left(20x\right)^{2}.
8100-5400x+900x^{2}+400x^{2}
Calculate 20 to the power of 2 and get 400.
8100-5400x+1300x^{2}
Combine 900x^{2} and 400x^{2} to get 1300x^{2}.
8100-5400x+900x^{2}+\left(20x\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(90-30x\right)^{2}.
8100-5400x+900x^{2}+20^{2}x^{2}
Expand \left(20x\right)^{2}.
8100-5400x+900x^{2}+400x^{2}
Calculate 20 to the power of 2 and get 400.
8100-5400x+1300x^{2}
Combine 900x^{2} and 400x^{2} to get 1300x^{2}.
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