To find the sum of these two expressions, we must add them together. This is modeled below:
-8x² - 8x + 10 + (5x + 2)
Because we are adding the expression in parentheses, there is no need to distribute the negative (only applies for subtraction) so the terms just keep their original signs and we can get rid of the parentheses.
-8x² - 8x + 10 + 5x + 2
Next, we must add together the terms that both have one variable x in them. First, we can rearrange this expression so that these terms are next to one another.
-8x² - 8x + 5x + 10 + 2
Now, we simply add together the variable terms and the constant terms to simplify our expression.
-8x² - 3x + 12
Therefore, your answer is -8x² - 3x + 12.
Hope this helps!
