Special Products and Factors

(x + y)2 = x2 + 2xy + y2
(x - y)2 = x2 - 2xy + y2
(x + y)3 = x3 + 3x2y + 3xy2 + y3
(x - y)3 = x3 -3x2y + 3xy2 - y3
(x + y)4 = x4 + 4x3y + 6x2y2 + 4xy3 + y4
(x - y)4 = x4 - 4x3y + 6x2y2 - 4xy3 + y4

x2 - y2 = (x - y)(x + y)
x3 - y3 = (x - y)(x2 + xy + y2)
x3 + y3 = (x + y)(x2 - xy + y2)
x4 - y4 = (x - y)(x + y)(x2 + y2)
x5 - y5 = (x - y)(x4 + x3y + x2y2 + xy3 + y4)
x5 + y5 = (x + y)(x4 - x3y + x2y2 - xy3 + y4)

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