x⁴ + 4x³ + 4x² - 9 = ((x²)² + 2 · x² · 2x + (2x)²) - 9 =
= (x² + 2x)² - 3² = (x² + 2x - 3)(x² + 2x + 3) =
= (x - 1)(x + 3)(x² + 2x + 3)
x² + 2x - 3 = 0 D = b²-4ac = 4+12 = 16
x = (-b±√D)/2a
x₁ = 1 x₂ = -3
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x⁴ + 4x³ + 4x² - 9 = ((x²)² + 2 · x² · 2x + (2x)²) - 9 =
= (x² + 2x)² - 3² = (x² + 2x - 3)(x² + 2x + 3) =
= (x - 1)(x + 3)(x² + 2x + 3)
x² + 2x - 3 = 0 D = b²-4ac = 4+12 = 16
x = (-b±√D)/2a
x₁ = 1 x₂ = -3