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11.22 , and 11.55\newlineQuestion \ 55 \ or \ 1111\newlineThis \ qu \ point(s)\newlineFactor \ the \ perfect \ square.\newlinex2−12x+36 x^{2} - 12x + 36

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Q. 11.22 , and 11.55\newlineQuestion \ 55 \ or \ 1111\newlineThis \ qu \ point(s)\newlineFactor \ the \ perfect \ square.\newlinex2−12x+36 x^{2} - 12x + 36
  1. Identify quadratic expression: Identify the quadratic expression: x2−12x+36x^2 - 12x + 36.
  2. Recognize perfect square trinomial: Recognize that x2−12x+36x^2 - 12x + 36 is a perfect square trinomial.
  3. Rewrite as (x - 66)^22: Rewrite the expression as (x−6)2(x - 6)^2 because (x−6)(x−6)=x2−12x+36(x - 6)(x - 6) = x^2 - 12x + 36.
  4. Verify factorization: Verify the factorization: (x−6)2=x2−12x+36(x - 6)^2 = x^2 - 12x + 36.

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