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[Music] first combine like terms quantity x squared minus 2x plus Blum plus quantity y squared plus 2y plus bla then put the constant term to the other side of the equation positive 3 plus Blom plus blah now take a look on the second terms negative 2x and negative 2y negative 2 over 2 then square next positive 2 over 2 then squared since the formula in completing the square is the square of B over 2 now negative 2 divided by 2 is 1 raised to the power of 2 is equal to 1 same with 2 divided by 2 then squared is 1 since we add 1 and 1 to the left side of the equation we must add 1 and 1 to the right side of the equation to make it balanced now let us factor out that is X minus 1 quantity squared plus quantity y plus 1 squared is equal to 5 and thats the final answer example number two again let us combine like terms we have quantity x squared plus 8x plus block plus the quantity of y squared plus 2y plus blong a sequel to change the sign of our constant term negative 18 since it is on t