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Other factorizations

Factorization involves breaking down a number or algebraic expression into its constituent factors. Besides the common factorization techniques like prime factorization and polynomial factorization, there are other specialized methods used in specific contexts.

Specialized Techniques

  • Difference of squares: Factoring expressions of the form \(a^2 - b^2\).
  • Sum or difference of cubes: Factoring expressions of the form \(a^3 + b^3\) or \(a^3 - b^3\).
  • Quadratic trinomials: Factoring quadratic expressions of the form \(ax^2 + bx + c\).

Applications

These specialized factorization techniques are commonly used in algebraic manipulations, simplifications, and solving equations.