Evaluate
2\left(x+1\right)^{2}+3
Expand
2x^{2}+4x+5
Graph
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2\left(x^{2}+2x+1\right)+3
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
2x^{2}+4x+2+3
Use the distributive property to multiply 2 by x^{2}+2x+1.
2x^{2}+4x+5
Add 2 and 3 to get 5.
2\left(x^{2}+2x+1\right)+3
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.
2x^{2}+4x+2+3
Use the distributive property to multiply 2 by x^{2}+2x+1.
2x^{2}+4x+5
Add 2 and 3 to get 5.
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