Verified answer

1a) ax² - 4a = a(x² - 4) = a(x - 2)(x + 2)

б) 3m² - 12m + 12 = 3(m² - 4m + 4) = 3(m - 2)² = 3(m - 2)(m - 2)

в) 5x³ + 5y³ = 5(x³ + y³) = 5(x + y)(x² - xy + y²)

г) z⁴ - x¹² = (z²)² - (x⁶)² = (z² - x⁶)(z² + x⁶) = (z - x³)(z + x³)(z² + x⁶)

2a)6 - 3y + 18x - 9xy = (6 - 3y) + (18x - 9xy) = 3(2 - y) + 9x(2 - y) =

= (2 - y)(3 + 9x) = 3(2 - y)(1 + 3x)

б) a² - 4a + 4 - p² = (a² - 4a + 4) - p² = (a - 2)² - p² = (a - 2 - p)(a - 2 + p)

в) b² + b + c - c² = (b² - c²) + (b + c) = (b - c)(b + c) + (b + c) =

= (b + c)(b - c + 1)

3)3y³ - 12y² = 0

3y²(y - 4) = 0

3 ≠ 0

y² = 0      ⇒  y₁ = 0

y - 4 = 0   ⇒  y₂ = 4

Ответ : 0 ; 4