Quadratics: Factoring Special Products Practice AK

Develop (multiply out) the following special products (try to use the patterns rather than foiling -- if you have to foil, pay attention to the patterns!):

  1. $x^2+4x+4$
  2. $x^2-10x+25$
  3. $x^2-6x+9$
  4. $x^2-12x+36$
  5. $c^2--6x+9$
  6. $x^2+24x+144$
  7. $x^2-1$
  8. $4x^2-25$
  9. $9x^2-16$
  10. $x^2-y^2$
  11. $x^4-y^4$
  12. $x^4+2x^2y^2+y^4$

Factor the following trinomials.  Do you recognize any special product patterns?

  1. $(x+2)^2$
  2. $(x-3)^2$
  3. $(x-5)^2$
  4. $(x-7)(x+7)$
  5. $(2x+12)(2x-12)$
  6. $(3x+4)(3x-4)$
  7. $(x+10)^2$
  8. $(x-8)^2$
  9. $2(x-1)^2$
  10. $3(x-4)^2$
  11. $2(x-3)^2$
  12. $(3x-5)(3x+5)$