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[tex]\tt \left(x-3\right)^2-\left(x-2\right)\left(x+2\right)-\left(x+1\right)^2\\\\\\\tt =x^2-6x+9-\left(x-2\right)\left(x+2\right)-\left(x+1\right)^2\\\\\\\tt =x^2-6x+9-\left(x-2\right)\left(x+2\right)-\left(x^2+2x+1\right)\\\\\\\tt =x^2-6x+9-x^2+4-\left(x^2+2x+1\right)\\\\\\\tt =x^2-6x+9-x^2+4-x^2-2x-1\\\\\\\large \boxed{\boxed{\tt =-x^2-8x+12}}[/tex]