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3H^{2}-4H+21
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3H^{2}-4H+21
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3\left(1-2H+H^{2}\right)-2\left(1-H\right)+20
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(1-H\right)^{2}.
3-6H+3H^{2}-2\left(1-H\right)+20
Use the distributive property to multiply 3 by 1-2H+H^{2}.
3-6H+3H^{2}-2+2H+20
Use the distributive property to multiply -2 by 1-H.
1-6H+3H^{2}+2H+20
Subtract 2 from 3 to get 1.
1-4H+3H^{2}+20
Combine -6H and 2H to get -4H.
21-4H+3H^{2}
Add 1 and 20 to get 21.
3\left(1-2H+H^{2}\right)-2\left(1-H\right)+20
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(1-H\right)^{2}.
3-6H+3H^{2}-2\left(1-H\right)+20
Use the distributive property to multiply 3 by 1-2H+H^{2}.
3-6H+3H^{2}-2+2H+20
Use the distributive property to multiply -2 by 1-H.
1-6H+3H^{2}+2H+20
Subtract 2 from 3 to get 1.
1-4H+3H^{2}+20
Combine -6H and 2H to get -4H.
21-4H+3H^{2}
Add 1 and 20 to get 21.
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Limits
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