A rectangle has a length of 6x^3 y^2 - 1 and a width of 3xy + 2. The formula for the perimeter of a rectangle is P=2l + 2w, where l is the length and w is the width. What is the perimeter of the rectangle? Simplify your answer.

P = 2 l + 2 w

P = 2 ( l + w )

P = 2 ( 6 x ^ 3 y ^ 2 - 1 + 3 x y + 2 )

P = 2 ( 6 x ^ 3 y ^ 2 + 3 x y + 1 )

OR

P = 2 ( 6 x ^ 3 y ^ 2 + 3 x y + 1 )

P = 12 x ^ 3 y ^ 2 + 6 x y + 2

P = x y ( 12 x ^ 2 y + 6 ) + 2

OR

P = 6 x y ( 2x ^ 2 y + 1 ) + 2

To find the perimeter of the rectangle, we can use the formula P = 2l + 2w, where l represents the length and w represents the width.

Given:
Length (l) = 6x^3 y^2 - 1
Width (w) = 3xy + 2

Substituting these values into the formula, we have:
P = 2(6x^3 y^2 - 1) + 2(3xy + 2)

Simplifying the equation:
P = 12x^3 y^2 - 2 + 6xy + 4

Combining like terms:
P = 12x^3 y^2 + 6xy + 2

Therefore, the perimeter of the rectangle is 12x^3 y^2 + 6xy + 2.