Answer:
[tex]10x^2 + 7x - 1[/tex]
Step-by-step explanation:
Step 1: Build the expression in numerical form.
- [tex](8x^2 +10x - 10) - (-2x^2 + 3x - 9)[/tex]
Step 2: Distribute the negative sign.
- [tex]8x^2 +10x -10 + (-1)(-2x^2) + (-1)(3x) + (-1)(-9)[/tex]
- [tex]8x^2 + 10x - 10 + 2x^2 + (-3x) + 9[/tex]
Step 3: Combine like terms.
- [tex](8x^2 +2x^2) + (10x -3x) + (-10+9)[/tex]
- [tex]10x^2 +7x -1[/tex]
Therefore, the answer is [tex]10x^2 + 7x -1[/tex].
