因式分解:(x^2-x)^2-14x^2+14x+24
问题描述:
因式分解:(x^2-x)^2-14x^2+14x+24
答
(x² - x)² - 14x² + 14x + 24= (x² - x)² - 14(x² - x) + 24= (x² - x - 2)(x² - x - 12)= (x + 1)(x - 2)(x + 3)(x - 4)