Răspuns:
Explicație pas cu pas:
a) (x-3)(2V3 * x^2 - 12V3 * x + 18V3)
= (x-3) * 2V3 *(x^2 - 6x + 9)
= 2V3 * (x-3) *( x-3)^2
= 2V3 * (x-3)^3
b) (x+1)(4V7*x^2 + 8V7 * x + 16V7)
= (x+1) * 4V7 * (x^2 + 2x + 4)
= 4V7 * (x+1) * (x^2 + 2x + 4)
c) (2x-1)(4V3 * x^2 - 4V3 * x +V3)
= (2x-1) * V3(4x^2 - 4x + 1)
= (2x-1) * V3(2x-1)^2
= V3(2x-1)^3
d) (3x+2)(9V5 * x^2 + 12V5 * x + 4V5)
= (3x+2) * V5 * (9x^2 + 12x +4)
= V5 * (3x+2) * (3x+2)^2
= V5 * (3x+2)^3
Nota: V - radical, ^ - putere