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2x^{2}+15x-8+\left(x+8\right)^{2}
Use the distributive property to multiply 2x-1 by x+8 and combine like terms.
2x^{2}+15x-8+x^{2}+16x+64
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+8\right)^{2}.
3x^{2}+15x-8+16x+64
Combine 2x^{2} and x^{2} to get 3x^{2}.
3x^{2}+31x-8+64
Combine 15x and 16x to get 31x.
3x^{2}+31x+56
Add -8 and 64 to get 56.
2x^{2}+15x-8+\left(x+8\right)^{2}
Use the distributive property to multiply 2x-1 by x+8 and combine like terms.
2x^{2}+15x-8+x^{2}+16x+64
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+8\right)^{2}.
3x^{2}+15x-8+16x+64
Combine 2x^{2} and x^{2} to get 3x^{2}.
3x^{2}+31x-8+64
Combine 15x and 16x to get 31x.
3x^{2}+31x+56
Add -8 and 64 to get 56.