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

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- 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...

(x+y)^4

anything outside the parenthesis disappears, therefore....

your answer is X+Y=0

Hope this helps!

Source(s): Algebra 2 Class

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