Factoring the Sum or Difference of Cubes
Our models for factoring the Sum or Difference of Cubes are:
a3+b3=(a+b)(a2-ab+b2)
a3-b3=(a-b)(a2+ab+b2)
Factor x
3-8
x3-8=x3-23=(x-2)(x2+2x+22)=(x-2)(x2+2x+4)
Factor 27x
3+y
6
27x3+y6=(3x)3+(y2)3=(3x+y2)(9x2-3xy2+y4)
Factor x
9-(5-y)
3
x9-(5-y)3=(x3)3-(5-y)3=(x3-(5-y))(x6+x3(5-y)+(5-y)2)=
=(x3-5+y)(x6+5x3-yx3+(5-y)2)
