Answer:
3x^3 + 6x^2 - 24x + 27.
Explanation:
To subtract these two polynomials, we need to combine like terms.
7x^3 - 16x + 18 - (4x^3 - 6x^2 + 8x - 9)
First, we can simplify the parentheses by distributing the negative sign:
7x^3 - 16x + 18 - 4x^3 + 6x^2 - 8x + 9
Next, we can combine like terms:
(7x^3 - 4x^3) + (6x^2) + (-16x - 8x) + (18 + 9)
Simplifying further:
3x^3 + 6x^2 - 24x + 27
Therefore, the answer is 3x^3 + 6x^2 - 24x + 27.