1) 2(x + 6y)(x + 6y)2) -2a(2a-1)(2a+1)3) 5a^3 - 40b^6 = 5(a^3 - 8b^6) = 5(a - 2b^2)(a^2 + 2ab^2 + 4b^4)4) a^3 - ab - a^2b + a^2 = a^2(a - b) - b(a - b) = (a^2 - b)(a - b)5) a - 3b + a^3 - 9b^2 = (a + a^2)(a - 9b) - 3b(a - 3)6) ac^4 - c^4 - ac^2 + c^2 = c^2(a - 1)(a + 1) - c^2(a - 1) = c^2(a - 1)(a + 1 - 1) = c^2(a - 1)^2
1) 2(x + 6y)(x + 6y)
2) -2a(2a-1)(2a+1)
3) 5a^3 - 40b^6 = 5(a^3 - 8b^6) = 5(a - 2b^2)(a^2 + 2ab^2 + 4b^4)
4) a^3 - ab - a^2b + a^2 = a^2(a - b) - b(a - b) = (a^2 - b)(a - b)
5) a - 3b + a^3 - 9b^2 = (a + a^2)(a - 9b) - 3b(a - 3)
6) ac^4 - c^4 - ac^2 + c^2 = c^2(a - 1)(a + 1) - c^2(a - 1) = c^2(a - 1)(a + 1 - 1) = c^2(a - 1)^2