Answer :
Putting it all together, the simplified expression is:
-3x^6 - 4x^5 - 10x^4 - 14
To subtract the polynomials, we need to combine like terms. Let's subtract each term one by one:
(3x^6 + 3x^5 - 4x^4 - 8) - (6x^6 + 7x^5 + 6x^4 + 6)
First, let's subtract the x^6 terms:
3x^6 - 6x^6 = -3x^6
Next, subtract the x^5 terms:
3x^5 - 7x^5 = -4x^5
Then, subtract the x^4 terms:
-4x^4 - 6x^4 = -10x^4
Finally, subtract the constant terms:
-8 - 6 = -14
Putting it all together, the simplified expression is:
-3x^6 - 4x^5 - 10x^4 - 14
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