how would u factor (x^4)+(y^4)?
- mominsdLv 51 decade agoFavorite Answer
You can't factor that, unless you use imaginary numbers.
(x^2 + y^2 i)(x^2 - y^2 i) would work.
- steiner1745Lv 71 decade ago
It's not factorable over the integers.
But we can factor it over the reals as follows:
Write it as
x^4 + 2x^2y^2 + y^4 -2x^2y^2=
(x^2+y^2)^2 - 2x^2y^2.
Now write it as the difference of 2 squares to get
(x^2 + √2xy + y^2)(x^2 -√2xy + y^2).
- Anonymous1 decade ago
you could pull out ^4 from both
it would look like this...
anything outside the parenthesis disappears, therefore....
your answer is X+Y=0
Hope this helps!Source(s): Algebra 2 Class