Question

Разложите на множители: 36xy⁴-36y⁴-xy²+y²

Answer 1

36xy⁴ - 36y⁴ - xy² + y² = (36xy⁴ - 36y⁴) - (xy² - y²) = 36y⁴(x - 1) - y²(x - 1) =
= (x - 1)(36y⁴ - y²) = y²(x - 1)(36y² - 1) = y²(x - 1)(6y - 1)(6y + 1)