how would u factor (x^4)+(y^4)?

3 Answers

  • 1 decade ago
    Favorite Answer

    You can't factor that, unless you use imaginary numbers.

    (x^2 + y^2 i)(x^2 - y^2 i) would work.

  • 1 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).

  • Anonymous
    1 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
Still have questions? Get your answers by asking now.