Simplifying the Expression: (−8y2−9y)−(−8y3+9y2−5y)
This article will guide you through simplifying the expression (−8y2−9y)−(−8y3+9y2−5y).
Understanding the Steps
The key to simplifying this expression lies in understanding the distributive property and combining like terms.

Distribute the Negative Sign: The negative sign in front of the second set of parentheses means we multiply each term inside the parentheses by 1. This gives us:
(−8y2−9y) + (8y3  9y2 + 5y)

Combine Like Terms: Now, we identify and combine terms with the same variable and exponent.
 y3 terms: There's only one term with y3: 8y3
 y2 terms: We have 8y2 and 9y2, which combine to 17y2
 y terms: We have 9y and 5y, which combine to 4y

Write the Simplified Expression: Finally, we combine all the simplified terms: 8y3  17y2  4y
Final Answer
Therefore, the simplified expression of (−8y2−9y)−(−8y3+9y2−5y) is 8y3  17y2  4y.