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3\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}.
3x^{2}+24x+48-3
Use the distributive property to multiply 3 by x^{2}+8x+16.
3x^{2}+24x+45
Subtract 3 from 48 to get 45.
3\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}.
3x^{2}+24x+48-3
Use the distributive property to multiply 3 by x^{2}+8x+16.
3x^{2}+24x+45
Subtract 3 from 48 to get 45.