Answer:
To subtract the given expressions, we need to subtract their corresponding terms.
8m² - 13m + 3 - (-6m² + 5m - 3)
When we subtract a negative value, it becomes addition. So, we can rewrite this as:
8m² - 13m + 3 + 6m² - 5m + 3
Now we can simply combine like terms:
(8m² + 6m²) + (-13m - 5m) + (3 + 3)
Simplifying further, we have:
14m² - 18m + 6
Therefore, the simplified expression after subtraction is 14m² - 18m + 6.