Add (7x⁶ + 10x² - 10) + (3x⁶ - 6x³ + 4).

Solution:

Given (7x⁶ + 10x² - 10) + (3x⁶ - 6x³ + 4)

Polynomial addition means adding terms of the same powers of the variable.

Now, put together the terms of same powers

(7x⁶ + 3x⁶) + (-6x³) + (10x²) + (4-10)

10x⁶ - 6x³ + 10x² - 6

Therefore, (7x⁶ + 10x² - 10) + (3x⁶ - 6x³ + 4) = 10x⁶ - 6x³ + 10x² - 6

Add (7x⁶ + 10x² - 10) + (3x⁶ - 6x³ + 4).

Summary:

By adding , we get (7x⁶ + 10x² - 10) + (3x⁶ - 6x³ + 4) =10x⁶ - 6x³ +10x² - 6.