x3+xy-x2y2=x(x2+y-xy2)
(1 - x4y4) = (1 + x2y2)*(1 - x2y2) = (1 + x2y2)*(1 + xy)*(1 - xy)
(xy - 7)(x^2y^2 + 7xy + 49)
If you mean prime factors they are:42x3y2 = 2*3*7*x3y2All of the factors of it are:1, 2, 3, 6, 7, 21, 42,and any of those numbers multiplied by either x, x2, x3, y, y2, xy, xy2, x2y, x2y2, x3y, or x3y2.
x6 - y6 = (x3)2 - (y3)2 = (x3 + y3) (x3 - y3) = (x + y)(x2 - xy + y2)(x - y)(x2 + xy + y2)
(x2 - xy + y2)(x + y)
(x - y)(x^2 + xy + y^2
x^2 - xy + y^2
0
The GCF is x2y2.
x^2y(2x + y)
I assume you mean x2y2+ay2+ab+bx2. (x2+a)(y2+b) is the simplified form. With the info you gave me there isn't much else to do.