Answer:
-19k³ + 9k² + 17
Explanation:
Given expression;
(-9k³ + 12k² + 9) - (10k³ + 3k² + 4k - 8)
To simplify, expand the brackets.
In the second bracket, the negative sign multiplies through;
= (-9k³ + 12k² + 9) - 10k³ - 3k² - 4k + 8
= -9k³ + 12k² + 9 - 10k³ - 3k² - 4k + 8
= -9k³ - 10k³ + 12k² - 3k²+ 9+ 8
= -19k³ + 9k² + 17