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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.

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Luv2Teach

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Step-by-step explanation:

If you want to make

[tex]x^2-12x[/tex]

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:

[tex](x^2-12x+36)-->(x-6)^2[/tex]

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