Answer:
The correct answer option is a. [tex](x+3)^3=12[/tex].
Step-by-step explanation:
We are given the following equation which we are to solve by completing the square method:
[tex]x^2+6x-3=0[/tex]
Keeping the variables at one side and constant on the other side of the equation to get:
[tex]x^2+6x=3[/tex]
Dividing the coefficient of x (6 in this case) by 2 and adding its square to both sides of the equation:
[tex]x^2+6x+9=3+9[/tex]
[tex]x^2+6x+9=12[/tex]
Rewriting it in the perfect square form as:
[tex](x+3)^3=12[/tex]
