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50\left(x^{2}-0.2x+0.01\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-0.1\right)^{2}.
50x^{2}-10x+0.5
Use the distributive property to multiply 50 by x^{2}-0.2x+0.01.
50\left(x^{2}-0.2x+0.01\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-0.1\right)^{2}.
50x^{2}-10x+0.5
Use the distributive property to multiply 50 by x^{2}-0.2x+0.01.