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Write the equation ( x+3)² + (y-2)² =5² in general form​

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[tex] \huge \green{ \bold{General \: Form}}[/tex]

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Write the equation ( x+3)² + (y-2)² =5² in general form.

☞ x² + y² + 6x - 4y - 12 = 0

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[tex] \large{ \bold{(x + 3) ^{2} + (y - 2)^{2} = {5}^{2} }}[/tex]

[tex] \bold{• \: ( {x}^{2} + 6x + 9) + ( {y}^{2} - 4y + 4) = 25} [/tex]

[tex] \bold{• \: {x}^{2} + 6x + 9 + {y}^{2} - 4y + 4 = 25}[/tex]

[tex] \bold{• \: {x}^{2} + {y}^{2} + 6x - 4y + 9 + 4 = 25}[/tex]

[tex] \bold{• \: {x}^{2} + {y}^{2} + 6x - 4y + 13 = 25}[/tex]

[tex] \bold{• \: {x}^{2} + {y}^{2} + 6x - 4y + 13 - 25 = 0}[/tex]

[tex] \blue{ \boxed{ \bold{• \: {x}^{2} + {y}^{2} + 6x - 4y - 12 = 0}}}[/tex]

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