Factor x^10 +y^4 using the sum of squares
(hint: x^10 = (x^5)^2 and y^4 = (y^2)^2)

cannot be factorized that is cannot be represented as products of lower degree polynomials.

Solution:

Need to factor using the sum of squares that is we need to factorize

Using law of exponent

On applying this we get,

But there is no direct formula of which can provide factors.

Hence we can say that cannot be factorize that is cannot be represented as products of lower degree polynomials.