Use completing the square to find the value to add that makes x^2 - 12x a perfect square trinomial. then write the expression as the square of a binomial.

Step-by-step explanation:

If you want to make

into a perfect square binomial, take half the linear term, square it, then add it to both sides.  Our linear term is 12.  Half of 12 is 6, and 6 squared is 36.

The value that makes this a perfect square binomial is 36.

Writing the expression as a square of the binomial is:

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step-by-step explanation:

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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