Let's simplify the expression step by step:
The expression given is:
\[ 8x^3 - 12x^2 + 18x - 27 \cdot 2x - 3 - x^2 + 4x \]
First, let's simplify the expression by distributing the values correctly. The term \( -27 \cdot 2x \) seems to contain a multiplication error, let's clarify if it means just \(-27\) and \(-2x\):
Let's rewrite the expression without ambiguity:
\[ 8x^3 - 12x^2 + 18x - 27 - 2x - x^2 + 4x \]
Now, combine like terms:
- \( x^3 \) terms: \( 8x^3 \) (only one term)
- \( x^2 \) terms: \( -12x^2 - x^2 = -13x^2 \)
- \( x \) terms: \( 18x - 2x + 4x = 20x \)
- Constant terms: \( -27 \)
Putting it all together:
\[ 8x^3 - 13x^2 + 20x - 27 \]
This expression does not appear to match any of the responses directly, indicating there may be a difference in the original problem, particularly with the \( -27 \cdot 2x \) interpretation.
If we simplify according to typical interpretations and keeping track of terms, the answer simplifies to:
\[ \text{Final Result: } 8x^3 - 13x^2 + 20x - 27 \]
If rechecking leads to no simplification fitting one of the candidates given, then the calculation might require clarification on initial entries to ensure all terms are considered or check for specific conditions set for polynomial simplifications typically used in exam settings.
Given all steps, none of the provided answers match the simplification if taken literally. Please verify the original expression or restrictions leading to expected outcomes.
In conclusion, recheck original forms provided or correct input misinterpretations for clarity.
1 answer