(c-2)(c+3)(c-1)²(c-2)(c+3)(c-1)² = (c² - 2c + 3c - 6)(c-1)²= (c² + c - 6)(c-1)²= (c² + c - 6)(c² - 2c + 1)= c^4 - 2c^3 + c^3 + 2c^2 - c^2 - 4c + 6c - 6= c^4 - c^3 + c^2 + 2c - 6
3(a+c)²-6ac3(a+c)² - 6ac = 3a² + 6ac + 3c² - 6ac= 3a² + 3c²= 3(a² + c²)
(c-2)(c+3)(c-1)²
(c-2)(c+3)(c-1)² = (c² - 2c + 3c - 6)(c-1)²
= (c² + c - 6)(c-1)²
= (c² + c - 6)(c² - 2c + 1)
= c^4 - 2c^3 + c^3 + 2c^2 - c^2 - 4c + 6c - 6
= c^4 - c^3 + c^2 + 2c - 6
3(a+c)²-6ac
3(a+c)² - 6ac = 3a² + 6ac + 3c² - 6ac
= 3a² + 3c²
= 3(a² + c²)