Ответы на вопрос:
(x^4+2x^2)^2+8(x^4+2x^2)+16-x^4 = (x^4+2x^2)^2+2*4*(x^4+2x^2)+4^2-x^4 =
(x^4+2x^2+4)^2-(x^2)^2 = (x^4 + 2x^2 + 4 - x^2)(x^4 + 2 x^2 + 4 + x^2)
= (x^4 + x^2 + 4)(x^4 + 3x^2 + 4) (a)
= (x^4 + x^2 + 4)(x^4 + 4x^2 + 4 - x^2) = (x^4 + x^2 ++2)^2 - x^2) =
= (x^4 + x^2 + 4)(x^2 + 2 - x)(x^2 +2 + x) (б)
= (x^4 + 4x^2 + 4 - 3x^2)(x^2 + 2 - x)(x^2 +2 + x) = ((x^2+2)^2 - (√3x)²) =
=(x^2 - √3x + 2)(x^2 + √3x + 2)(x^2 -x + 2)(x^2 + x + 2) (в)
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