x^(3)-y^(2)+x-x^(2)y^(2)

The factors of x^(3)-x^(2)y-xy^(2)+y^(3) are (a (x+y)(x^(2)-xy+y^(2))(b)(x+y)(x^(2)+xy+y^(2))(c)(x+y)^(2)(x-y)(d)(x-y)^(2)(x+y)

x^(2)dx-y^(2)dy+xdx=dy-ydy-dx A) 2(x^(3)-y^(3))-3(x^(2)+y^(2))+6(x-y)=c B) 2(x^(3)-y^(3))+3(x^(2)-y^(2))+6(x+y)=c C) 2(x^(3)-y^(3))-3(x^(2)+y^(2))-6(x-y)=c D) 2(x^(3)-y^(3))+3(x^(2)+y^(2))+6(x-y)=c

Veriffy : (i) x^(3)+y^(3)=(x+y)(x^(2)-xy+y^(2))x^(3)-y^(3)=(x-y)(x^(2)+xy+y^(2))

The following are the steps involved in factorizing 64 x^(6) -y^(6) . Arrange them in sequential order (A) {(2x)^(3) + y^(3)} {(2x)^(3) - y^(3)} (B) (8x^(3))^(2) - (y^(3))^(2) (C) (8x^(3) + y^(3)) (8x^(3) -y^(3)) (D) (2x + y) (4x^(2) -2xy + y^(2)) (2x - y) (4x^(2) + 2xy + y^(2))

(x+y)^(3)-(x-y)^(3) can be factorized as 2y(3x^(2)+y^(2)) (b) 2x(3x^(2)+y^(2))2y(3y^(2)+x^(2)) (d) 2x(x^(2)+3y^(2))

What is ((x^(2)+y^(2))(x-y)-(x-y)^(3))/(x^(2)y-xy^(2)) equal to ?