Question

b) 2. Descompuneți în produs de factori ireductibili expresia (3x + 5)³ - 12x - 20.​

Answer 1

Răspuns:

(3x+5)³ - 12x - 20 = (3x+5)[(3x+5)²-4]= (3x+5)×3(x+1)(3x+7)=3(3x+5)•(x+1)•(3x+7)

Answer 2

Răspuns: (3x + 5) · (3x + 3) · (3x + 7)

Explicație pas cu pas:

(3x + 5)³ - 12x - 20 =

(3x + 5)³ - 4 · (3x + 5) =

(3x + 5) · [(3x + 5)² - 4] =

(3x + 5) · [(3x + 5)² - 2²] =

(3x + 5) · [(3x + 5) - 2] · [(3x + 5) + 2] =

(3x + 5) · (3x + 5 - 2) · (3x + 5 + 2) =

(3x + 5) · (3x + 3) · (3x + 7)

==pav38==