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The six common types of factoring are:

  1. Factoring out the Greatest Common Factor (GCF): Extracting the largest common factor from all terms.
  2. Factoring by Grouping: Rearranging and grouping terms to factor them in pairs.
  3. Factoring Trinomials: Breaking down quadratic expressions of the form (ax^2 + bx + c) into two binomials.
  4. Difference of Squares: Expressing an equation in the form (a^2 - b^2) as ((a - b)(a + b)).
  5. Perfect Square Trinomials: Recognizing and factoring expressions like (a^2 + 2ab + b^2) into ((a + b)^2).
  6. Sum or Difference of Cubes: Factoring expressions like (a^3 + b^3) or (a^3 - b^3) using specific formulas.
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