To solve this problem, we need to determine which terms are common to both expressions and which ones are unique to each expression.
The common terms are 8k^3 and 25k^2, since they appear in both expressions. Therefore, we need to subtract the difference of the unique terms from the original expression.
The unique terms in the first expression are 12k^4 and 9k^2, while the unique terms in the second expression are 8k^4, -18k, and -16. To get the difference, we simply subtract the second expression from the first expression:
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Answer:
To solve this problem, we need to determine which terms are common to both expressions and which ones are unique to each expression.
The common terms are 8k^3 and 25k^2, since they appear in both expressions. Therefore, we need to subtract the difference of the unique terms from the original expression.
The unique terms in the first expression are 12k^4 and 9k^2, while the unique terms in the second expression are 8k^4, -18k, and -16. To get the difference, we simply subtract the second expression from the first expression:
(12k^4 + 8k³ + 9k² - 12) - (8k^4 + 8k³ + 25k² - 18k - 16)
= 12k^4 - 8k^4 + 8k³ - 8k³ + 9k² - 25k² - (-12k + 18k) - (-12 + 16)
= 4k^4 - 16k² + 6k - 4
Therefore, we need to subtract 4k^4 - 16k^2 + 6k - 4 from 12k^4 + 8k³ + 9k² - 12 to produce 8k^4 + 8k³ + 25k² - 18k - 16.
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