Expanding both terms, we get:
(х^2-16)^2 = x^4 - 32x^2 + 256
(х^2+x+2)^2 = x^4 + 2x^3 + 5x^2 + 4x + 4
Adding both expressions together:
(x^4 - 32x^2 + 256) + (x^4 + 2x^3 + 5x^2 + 4x + 4)
= 2x^4 + 2x^3 - 27x^2 + 4x + 260
Therefore, the expression (х^2-16)^2 + (х^2+х+2)^2 simplifies to 2x^4 + 2x^3 - 27x^2 + 4x + 260.
Expanding both terms, we get:
(х^2-16)^2 = x^4 - 32x^2 + 256
(х^2+x+2)^2 = x^4 + 2x^3 + 5x^2 + 4x + 4
Adding both expressions together:
(x^4 - 32x^2 + 256) + (x^4 + 2x^3 + 5x^2 + 4x + 4)
= 2x^4 + 2x^3 - 27x^2 + 4x + 260
Therefore, the expression (х^2-16)^2 + (х^2+х+2)^2 simplifies to 2x^4 + 2x^3 - 27x^2 + 4x + 260.