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4x^{2}+4x+1-4\left(x-1\right)\left(x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+1\right)^{2}.
4x^{2}+4x+1+\left(-4x+4\right)\left(x+1\right)
Use the distributive property to multiply -4 by x-1.
4x^{2}+4x+1-4x^{2}+4
Use the distributive property to multiply -4x+4 by x+1 and combine like terms.
4x+1+4
Combine 4x^{2} and -4x^{2} to get 0.
4x+5
Add 1 and 4 to get 5.
4x^{2}+4x+1-4\left(x-1\right)\left(x+1\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(2x+1\right)^{2}.
4x^{2}+4x+1+\left(-4x+4\right)\left(x+1\right)
Use the distributive property to multiply -4 by x-1.
4x^{2}+4x+1-4x^{2}+4
Use the distributive property to multiply -4x+4 by x+1 and combine like terms.
4x+1+4
Combine 4x^{2} and -4x^{2} to get 0.
4x+5
Add 1 and 4 to get 5.