Question

Помогите разложить на множители: 1) 64x^3-27y^3
2) b^5-b^3+b^2-1

Answer 1

1) 64x³ - 27y³ = (4x)³ - (3y)³ = (4x - 3y)(16x² + 12xy + 9y²)

2) b⁵ - b³ + b² - 1 = b³(b² - 1) + (b² - 1) = (b³ + 1)(b² - 1) =
                             = (b + 1)(b² - b + 1)(b - 1)(b + 1) = (b + 1)²(b - 1)(b² - b + 1)