Evaluate
3+4t-4t^{2}
Expand
3+4t-4t^{2}
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4-\left(4t^{2}-4t+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2t-1\right)^{2}.
4-4t^{2}+4t-1
To find the opposite of 4t^{2}-4t+1, find the opposite of each term.
3-4t^{2}+4t
Subtract 1 from 4 to get 3.
4-\left(4t^{2}-4t+1\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2t-1\right)^{2}.
4-4t^{2}+4t-1
To find the opposite of 4t^{2}-4t+1, find the opposite of each term.
3-4t^{2}+4t
Subtract 1 from 4 to get 3.
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