Question

Descompuneti in factori:

3x^3-3x
2x^3-8x
4x^3-36x
2x^3-32x
8x^4-98x^2
50x^5-8x^3
36x^3-64x
75x^3-48x


Va rogg.....

Answer 1

$3 {x}^{3} - 3x = 3x( {x}^{2} - 1) = 3x(x - 1)(x + 1)$

$2 {x}^{3} - 8x = 2x( {x}^{2} - 4) = 2x(x - 2)(x + 2)$

$4 {x}^{3} - 36x = 4x( {x}^{2} - 9) = 4x(x - 3)(x + 3)$

$2 {x}^{3} - 32x = 2x( {x}^{2} - 16) = 2x(x - 4)(x + 4)$

$8 {x}^{4} - 98 {x}^{2} = 2 {x}^{2} (4 {x}^{2} - 49) = 2 {x}^{2} (2x - 7)(2x + 7)$

$50 {x}^{5} - 8 {x}^{3} = 2 {x}^{3} (25 {x}^{2} - 4) = 2 {x}^{3} (5x - 2)(5x + 2)$

$36 {x}^{3} - 64x = 4x(9 {x}^{2} - 16) = 4x(3x - 4)(3x + 4)$

$75 {x}^{3} - 48x = 3x(25 {x}^{2} - 16) = 3x(5x - 4)(5x + 4)$