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4\left(x^{2}+8x+16\right)+3
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
4x^{2}+32x+64+3
Use the distributive property to multiply 4 by x^{2}+8x+16.
4x^{2}+32x+67
Add 64 and 3 to get 67.
4\left(x^{2}+8x+16\right)+3
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+4\right)^{2}.
4x^{2}+32x+64+3
Use the distributive property to multiply 4 by x^{2}+8x+16.
4x^{2}+32x+67
Add 64 and 3 to get 67.