1) 25a^3 - ab^2 = a(5a^2 - b^2) = a(5a + b)(5a - b)2) -3x^2 - 12x - 12 = -3(x^2 + 4x + 4) = -3(x + 2)(x + 2) = -3(x + 2)^23) 3ab - 15a + 12b - 60 = 3(a-5)(b+4)4) a^4 - 625 = (a^2 + 25)(a^2 - 25) = (a^2 + 25)(a + 5)(a - 5)
1) 25a^3 - ab^2 = a(5a^2 - b^2) = a(5a + b)(5a - b)
2) -3x^2 - 12x - 12 = -3(x^2 + 4x + 4) = -3(x + 2)(x + 2) = -3(x + 2)^2
3) 3ab - 15a + 12b - 60 = 3(a-5)(b+4)
4) a^4 - 625 = (a^2 + 25)(a^2 - 25) = (a^2 + 25)(a + 5)(a - 5)