Step-by-step explanation:
[tex](x - 3) {}^{2} + (y - 2) {}^{2} = 16 \\ \\ x {}^{2} - 6x + 9 + y {}^{2} - 4y + 4 = 16 \\ \\ {x}^{2} + {y}^{2} - 6x - 4y + 13 - 16 = 0 \\ \\ {x}^{2} + {y}^{2} - 6x - 4y - 3 = 0[/tex]