1. **State the problem:** Find the center point and radius of the circle represented by the equation $ (x+2)(x-6)+(x+8)(x-2) $. 2. **Expand the terms:** $$ (x+2)(x-6) = x^2 - 6x + 2x - 12 = x^2 - 4x - 12 $$ $$ (x+8)(x-2) = x^2 - 2x + 8x - 16 = x^2 + 6x - 16 $$ 3. **Add the expanded expressions:** $$ x^2 - 4x - 12 + x^2 + 6x - 16 = 2x^2 + 2x - 28 $$ 4. **Rewrite the equation:** The original expression simplifies to $$ 2x^2 + 2x - 28 $$ Since this is not equal to a standard circle equation, it appears the problem might be incomplete or missing the $y$ terms or an equals sign. If the problem intended to represent a circle, it should be in the form $$ (x - h)^2 + (y - k)^2 = r^2 $$ 5. **Conclusion:** The given expression is a quadratic in $x$ only and does not represent a circle. Please provide the full equation including $y$ terms or an equals sign to find the center and radius of the circle.