The correct answer is: [C]: " 11x⁹ − x + 15 " .
___________________________________________________
Explanation:
___________________________________________________
Given:
___________________________________________________
" (x⁹ − x + 8) + (10x⁹ + 7) " ; Simplify/ Add.
_______________________________________________________
We can rewrite this as:
" 1x⁹ − 1x + 8 + 10x⁹ + 7 = ?
→ {The "1" is implied; since "1", multiplied by any value, results in the exact same value.}.
Combine the "like terms" :
+ 1x⁹ + 10x⁹ = 11x⁹ ;
+ 8 + 7 = 15 ;
and we are left with: " − 1x " ; which we can rewrite as: " −x " ;
_________________________________________________
So, we can write our answer as:
_________________________________________________
→ " 11x⁹ − x + 15 " ;
→ which is: "Answer choice: [C]: " 11x⁹ − x + 15 " ;
_________________________________________________
