a, x^3-x^2-4x^2+8x-4
=x^2(x-1)-4(x^2-2x+1)
=x^2(x-1)-4(x-1)^2
=(x^2-4(x-1))(x-1)
=(x^2-4x+4)(x-1)
=(x-2)^2(x-1)
b,4x^2-25-(2x-5)(2x+7)
=(2x-5)(2x+5)-(2x-5)(2x+7)
=(2x-5)(2x+5-2x-7)
=-2(2x-5)
c, x^3+3^3+(x+3)(x-9)
=(x+3)(x^2-3x+9)
=(x+3)(x^2-3x+9+x-9)
=(x+3)(x^2-2x)
=x(x+3)(x-2)
d...