Convert form standard to general form for circle.

Question

Circle with center (a,b) and radius c.

Answer 1

standard form - (x-a)^2+(y-b)^2=c^2

can someone simplify this instead then?
x^2-2ax+a^2+y^2-2by+b^2-c^2=0? to make it general form

Answer 2

they are exactly the same equation.