Quadratics: Factoring Special Products Practice
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!):
- $(x+2)(x+2)$
- $(x-5)(x-5)$
- $(x-3)(x-3)$
- $(x-6)(x-6)$
- $(c-3)^2$
- $(x+12)^2$
- $(x+1)(x-1)$
- $(2x-5)(2x+5)$
- $(3x+4)(3x-4)$
- $(x+y)(x-y)$
- $(x^2+y^2)(x^2-y^2)$
- $(x^2+y^2)^2$
Factor the following trinomials. Do you recognize any special product patterns?
- $x^2+4x+4$
- $x^2-6x+9$
- $x^2-10x+25$
- $x^2-49$
- $4x^2-144$
- $9x^2-16$
- $x^2+20x+100$
- $x^2-16x+64$
- $2x^2-4x+2$
- $3x^2-24x+48$
- $2x^2-12x+18$
- $9x^2-25$