Perform the operation.

(4x^2−8)+(−10x^2+2)

To perform the operation, we can combine like terms.

(4x^2 - 8) + (-10x^2 + 2)
= 4x^2 - 8 - 10x^2 + 2
= (4x^2 - 10x^2) + (-8 + 2)
= -6x^2 - 6.