Question

Descompuneti :

1. x^{4} -16x^{2}
2. 2x^{4} - 162x^{2}
3. x^{2}-2
4. x^{2}-3
5. x^{2}-8
6. 12-x^{2}

Answer 1

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)