Answer:
(a) x² +y² -14x +16y +49 = 0
Explanation:
You want the equation (x -7)² +(y +8)² = 64 written in general form.
General form
In general form, the terms are written in lexicographical order of decreasing degree, and the right side of the equation is 0.
Application
We know the square of a binomial is ...
(a +b)² = a² +2ab +b²
so we can write down the squares of the binomials:
x² -14x +49 +y² +16x +64 = 64
Rearranging and subtracting 64 from both sides, we have ...
x² +y² -14x +16y +49 = 0