1) b^3 - 8^3 = (b - 2)(b^2 + 2b + 4)2) 49x^3y - y^3 = (7x - y)(7x^2 + 7xy + y^2)3) -7a^2 + 14a - 7 = -7(a^2 - 2a + 1) = -7(a - 1)^24) 5ab - 15b - 5a + 15 = 5(b - 3)(a - 1)5) a^4 - 1 = (a^2 - 1)(a^2 + 1) = (a - 1)(a + 1)(a^2 + 1)
1) b^3 - 8^3 = (b - 2)(b^2 + 2b + 4)
2) 49x^3y - y^3 = (7x - y)(7x^2 + 7xy + y^2)
3) -7a^2 + 14a - 7 = -7(a^2 - 2a + 1) = -7(a - 1)^2
4) 5ab - 15b - 5a + 15 = 5(b - 3)(a - 1)
5) a^4 - 1 = (a^2 - 1)(a^2 + 1) = (a - 1)(a + 1)(a^2 + 1)