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6x^{2}-14x+8+\left(x+2\right)^{2}
Use the distributive property to multiply 2x-2 by 3x-4 and combine like terms.
6x^{2}-14x+8+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}-14x+8+4x+4
Combine 6x^{2} and x^{2} to get 7x^{2}.
7x^{2}-10x+8+4
Combine -14x and 4x to get -10x.
7x^{2}-10x+12
Add 8 and 4 to get 12.
6x^{2}-14x+8+\left(x+2\right)^{2}
Use the distributive property to multiply 2x-2 by 3x-4 and combine like terms.
6x^{2}-14x+8+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}-14x+8+4x+4
Combine 6x^{2} and x^{2} to get 7x^{2}.
7x^{2}-10x+8+4
Combine -14x and 4x to get -10x.
7x^{2}-10x+12
Add 8 and 4 to get 12.