1) a^2 y^2 - x^6 = (ay - x^3)(ay + x^3)2) a^3 - a^2 b + ab^2 - b^3 = a^2(a - b) + b^2(a - b) = (a^2 + b^2)(a - b)3) 3b + bc + 3ac + 9a = 3(b + a)(c + 3)4) c^2 - 6c + 9 - 4x^2 = (c - 3)^2 - (2x)^2 = (c - 3 - 2x)(c - 3 + 2x)
1) a^2 y^2 - x^6 = (ay - x^3)(ay + x^3)
2) a^3 - a^2 b + ab^2 - b^3 = a^2(a - b) + b^2(a - b) = (a^2 + b^2)(a - b)
3) 3b + bc + 3ac + 9a = 3(b + a)(c + 3)
4) c^2 - 6c + 9 - 4x^2 = (c - 3)^2 - (2x)^2 = (c - 3 - 2x)(c - 3 + 2x)