Expand
2t^{2}+8t+11
Evaluate
2\left(t+2\right)^{2}+3
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2\left(t^{2}+4t+4\right)+3
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(t+2\right)^{2}.
2t^{2}+8t+8+3
Use the distributive property to multiply 2 by t^{2}+4t+4.
2t^{2}+8t+11
Add 8 and 3 to get 11.
2\left(t^{2}+4t+4\right)+3
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(t+2\right)^{2}.
2t^{2}+8t+8+3
Use the distributive property to multiply 2 by t^{2}+4t+4.
2t^{2}+8t+11
Add 8 and 3 to get 11.
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