do you mean 2x + 2y? and if you do you would get this
2(x+y) but that's as far as you can go seeing as their are no more common terms
You factor x^2+y^2 like this. x^2+y^2=(x+y)(x-y) +2y^2
or
You can do (x+iy)(x-iy)
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(x2 - xy + y2)(x + y)
4 - y2 can be written as 22 - y2. This has become of the form of x2 - y2.Expansion for x2 - y2 is (x+y)(x-y).So, 4 - y2 = 22 - y2 = (2+y)(2-y)
x6 - y6 = (x3)2 - (y3)2 = (x3 + y3) (x3 - y3) = (x + y)(x2 - xy + y2)(x - y)(x2 + xy + y2)
x2 + 6x + 8 = (x + 4)(x + 2)
The factoring is as follows: x2 - y2 = (x + y) * (x - y)