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6x^{2}+31x+5+\left(x-2\right)^{2}
Use the distributive property to multiply 6x+1 by x+5 and combine like terms.
6x^{2}+31x+5+x^{2}-4x+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
7x^{2}+31x+5-4x+4
Combine 6x^{2} and x^{2} to get 7x^{2}.
7x^{2}+27x+5+4
Combine 31x and -4x to get 27x.
7x^{2}+27x+9
Add 5 and 4 to get 9.
6x^{2}+31x+5+\left(x-2\right)^{2}
Use the distributive property to multiply 6x+1 by x+5 and combine like terms.
6x^{2}+31x+5+x^{2}-4x+4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2\right)^{2}.
7x^{2}+31x+5-4x+4
Combine 6x^{2} and x^{2} to get 7x^{2}.
7x^{2}+27x+5+4
Combine 31x and -4x to get 27x.
7x^{2}+27x+9
Add 5 and 4 to get 9.