Evaluate
2\left(2t-3\right)^{2}
Expand
8t^{2}-24t+18
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9-12t+4t^{2}+\left(2t-3\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3-2t\right)^{2}.
9-12t+4t^{2}+4t^{2}-12t+9
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2t-3\right)^{2}.
9-12t+8t^{2}-12t+9
Combine 4t^{2} and 4t^{2} to get 8t^{2}.
9-24t+8t^{2}+9
Combine -12t and -12t to get -24t.
18-24t+8t^{2}
Add 9 and 9 to get 18.
9-12t+4t^{2}+\left(2t-3\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3-2t\right)^{2}.
9-12t+4t^{2}+4t^{2}-12t+9
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2t-3\right)^{2}.
9-12t+8t^{2}-12t+9
Combine 4t^{2} and 4t^{2} to get 8t^{2}.
9-24t+8t^{2}+9
Combine -12t and -12t to get -24t.
18-24t+8t^{2}
Add 9 and 9 to get 18.
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Limits
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