Question 294776
6) Simply take half of -12 (the x coefficient) to get -6 and square it to get 36. Now add and subtract this value to get {{{x^2-12x+36-36}}}. From here, factor {{{x^2-12x+36}}} to get {{{(x-6)^2}}}. So {{{x^2-12x+36-36=(x-6)^2-36}}} which means that {{{x^2-12x=(x-6)^2-36}}}