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12t^{2}-60t+100
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12t^{2}-60t+100
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100-40t+4t^{2}+4t^{2}-2\left(10-2t\right)t
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(10-2t\right)^{2}.
100-40t+8t^{2}-2\left(10-2t\right)t
Combine 4t^{2} and 4t^{2} to get 8t^{2}.
100-40t+8t^{2}+\left(-20+4t\right)t
Use the distributive property to multiply -2 by 10-2t.
100-40t+8t^{2}-20t+4t^{2}
Use the distributive property to multiply -20+4t by t.
100-60t+8t^{2}+4t^{2}
Combine -40t and -20t to get -60t.
100-60t+12t^{2}
Combine 8t^{2} and 4t^{2} to get 12t^{2}.
100-40t+4t^{2}+4t^{2}-2\left(10-2t\right)t
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(10-2t\right)^{2}.
100-40t+8t^{2}-2\left(10-2t\right)t
Combine 4t^{2} and 4t^{2} to get 8t^{2}.
100-40t+8t^{2}+\left(-20+4t\right)t
Use the distributive property to multiply -2 by 10-2t.
100-40t+8t^{2}-20t+4t^{2}
Use the distributive property to multiply -20+4t by t.
100-60t+8t^{2}+4t^{2}
Combine -40t and -20t to get -60t.
100-60t+12t^{2}
Combine 8t^{2} and 4t^{2} to get 12t^{2}.
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