There are four steps for converting the equation x^2+y^2+12x+2y-1=0 into standard form by completing the square. Complete the last step.

Answer:(x + 6)² + (y + 1)² = 36 + 1 + 1Step-by-step explanation:using the steps given, we are left with:x² + 12x + 36 + y² + 2x + 1 = 38we can factor each term in parentheses:(x² + 12x + 36) + (y² + 2x + 1) = 36 + 1 + 1lets start with x² + 12x + 36. we factor by finding 2 numbers that add up to 12 and when multiplied together get 36. the answer is 6. so we can factor:(x + 6)²next we factor y² + 2x + 1. the same rules apply, and this number would be 1.(y + 1)²we have the following:(x + 6)² + (y + 1)² = 36 + 1 + 1to simplify the right side, we add the terms, then square it as well to find the radius of the circle, in which the formula is (x - h)² + (y - k)² = r²(x + 6)² + (y + 1)² = 38²(x + 6)² + (y + 1)² = 1444(x + 6)² + (y + 1)² = √1444(x + 6)² + (y + 1)² = 38this is the final form