perform the indicated operation by removing the parentheses and combining like terms (6x^2+8) +(-5x^2-7)

To perform the indicated operation, we must remove the parentheses and combine like terms.

We have:
(6x^2 + 8) + (-5x^2 - 7)

Removing the parentheses, we get:
6x^2 + 8 - 5x^2 - 7

Combining like terms, we add the coefficients of the same degree terms:
(6x^2 - 5x^2) + (8 - 7)

This simplifies to:
x^2 + 1