Răspuns:
Explicație pas cu pas:
1) x^4 - 16x^2 = (x^2 - 4x)(x^2 + 4x) = (x - √4x)(x + √4x)(x^2 + 4x)
2) 2x^4 - 162x^2 = 2(x^4 - 81x^2) = 2(x^2 - 9x)(x^2 + 9x) =
2(x - 3√3)(x + 3√x)(x^2 + 9x)
3) x^2 - 2 = (x - √2)(x + √2)
4) x^2 - 3 = (x - √3)(x + √3)
5) x^2 - 8 = (x - √8)(x + √8) = > (x - 2√2)(x + 2√2)
6) 12 - x^2 = (√12 - x)(√12 + x) = > (2√3 - x)(2√3 + x)