Răspuns:
Explicație pas cu pas:
a) (3x-2)²-16x² = (3x - 2 - 4x)(3x - 2 + 4x) = (-2 - x)(-2 + 7x)
b) 9(x-2)²-4x² = [3(x - 2) - 2x)][(3(x - 2) + 2x] = (3x - 6 - 2x)(3x - 6 + 2x) =
(x - 6)(5x - 6)
c) 9x³+9x²-4x-4 = 9x^2 (x + 1) - 4(x + 1) = (x + 1)(9x^2 - 4) =
(x + 1)(3x - 2)(3x + 2)
d) 4(x+5)²-(x-1)² = [2(x + 5) - (x - 1)][2(x + 5) + (x - 1)]
= (2x + 10 - x + 1)(2x + 10 + x - 1) = (x + 11)(3x + 9) = 3(x + 11)(x + 3)