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3\left(x^{2}-8x+16\right)+5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
3x^{2}-24x+48+5
Use the distributive property to multiply 3 by x^{2}-8x+16.
3x^{2}-24x+53
Add 48 and 5 to get 53.
3\left(x^{2}-8x+16\right)+5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
3x^{2}-24x+48+5
Use the distributive property to multiply 3 by x^{2}-8x+16.
3x^{2}-24x+53
Add 48 and 5 to get 53.