Final answer:
The question is about the standard form equation for a circle, which shows the circle's center and radius. No further simplification is needed since the equation is already in the standard form.
Step-by-step explanation:
The student's question refers to a standard form equation for a circle. The equation (x-3)²+(y-4)²=25 represents a circle with a center at (3, 4) and a radius of 5 units. This is because the general form of a circle's equation is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.
To derive this form, one would typically have an equation in general form and complete the square for both the x and y terms. Given that the provided equation is already in standard form, no further simplification is needed.
Understanding this helps recognize the other forms of quadratic equations and conic sections such as ellipses, parabolas, and hyperbolas.