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Factor, if possible. Be sure to factor completely. Always factor out the greatest common factor first, if one exists.

36x^(2)-60 x+25

Factor, if possible. Be sure to factor completely. Always factor out the greatest common factor first, if one exists.\newline36x260x+25 36 x^{2}-60 x+25

Full solution

Q. Factor, if possible. Be sure to factor completely. Always factor out the greatest common factor first, if one exists.\newline36x260x+25 36 x^{2}-60 x+25
  1. Identify GCF of coefficients: Identify the greatest common factor of the coefficients 3636, 60-60, and 2525.
  2. Rewrite expression: Since the GCF is 11, rewrite the expression without factoring out anything.
  3. Factor quadratic expression: Factor the quadratic expression using the middle term splitting or any other suitable method.
  4. Rewrite middle term: Rewrite the middle term using the numbers found and factor by grouping.
  5. Factor out common binomial: Factor out the common binomial factor.