Subtract −2x^2 +2 from −3x^2 +10

To subtract -2x^2 + 2 from -3x^2 + 10, we will subtract the corresponding terms:

-3x^2 + 10 - (-2x^2 + 2)

First, distribute the negative sign to each term inside the parentheses:

-3x^2 + 10 + 2x^2 - 2

Next, combine like terms:

(-3x^2 + 2x^2) + (10 - 2)

Simplifying the equation:

-1x^2 + 8

The final result is -x^2 + 8.