[tex]Part \ A: \\ 3x^2y^2 - 2xy^2 - 8y^2= \\ y^2(3x^2-2x-8)= \\ y^2(3x^2+4x-6x-8)= \\ y^2(x(3x+4)-2(3x+4)) = \\y^2(x-2)(3x+4) \\ \\ Part \ B:\\ x^2 + 10x + 25 = \\ x^2 + 2 * 5 *x + 25 = \\(x+5)^2 \\ \\ Part \ C: \\ x^2-36 = \\ x^2 - 6 ^2 = \\ (x-6)(x+6)[/tex]