Algebra › Section F · Factoring › Topic F.3

Factoring special products

Some polynomials factor on sight, the moment you recognise their shape. Learn the handful of special-product patterns and the number hunt disappears - along with its most famous trap.

In this topic

  • Patterns that factor on sight
  • Difference of squares
  • The trap: sums of squares are prime
  • Spotting squares at a glance
  • Perfect-square trinomials
  • Difference of cubes
  • Sum of cubes
  • Worked example: peeling a fourth power
  • Worked example: GCF first, then cubes
  • Common mistakes to avoid
  • Key takeaways

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