FACTOR ME !
Algebra
Level
2
Factor completely.
(x^{2} +2 x + 1)(x^{2} - x + 1)
(x^{2} + x - 1)(x^{2} - x - 1)
(x^{2} + x + 1)(x^{2} - 2x + 1)
(x^{2} + x + 1)(x^{2} - x + 1)
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Take note that when the 2nd term is 2x^2, the whole expression will be a PST. Thus, we can factor it by completing the square.
x^4 + x^2 + 1 + x^2 - x^2 => x^4 + 2x^2 + 1 - x^2 => (x^2 + 1)^2 - (x)^2 => (x^2 + x + 1)(x^2 - x + 1).