complete the square by rewriting x^2+6x-15 in the form (x+p)^2-q

To complete the square the first thing you must do is divide the coefficient (number in front) x by 2 to give (x+3)^2We must then expand out (x+3)^2 which can be done by writing it as (x+3)(x+3) then using the foil method to give x^2+6x+9 In order to complete the square we must now subtract 9 from -15 to give -24. The final answer can now be written as (x+3)^2-24

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