Prove that the circle `x^(2)+y^(2)+2x+2y+1=0` and circle `x^(2)+y^(2)-4x-6y-3=0` touch each other.

Explanation

To prove that the circles given by the equations \(x^{2}+y^{2}+2x+2y+1=0\) and \(x^{2}+y^{2}-4x-6y-3=0\) touch each other, we will follow these steps:

### Step 1: Rewrite the equations in standard form
The general form of a circle is given by:
\[ x^{2} + y^{2} + 2gx + 2fy + c = 0 \]
From this, we can identify the center and radius of the circles.
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