Perform the operation(s) and simplify completely.

Question

(8x3−12x2+18x−27)2x−3 − x2+4x
(1 point)

x2

x
+9

Answer 1

To simplify the expression, we will first perform the operation inside the parentheses.

(8x^3 - 12x^2 + 18x - 27)(2x - 3) - x^2 + 4x

Now we can distribute the first term, (8x^3 - 12x^2 + 18x - 27), to each term inside the second parentheses.

16x^4 - 24x^3 + 36x^2 - 54x - 24x^2 + 36x - 54 - x^2 + 4x

Now we can combine like terms.

16x^4 - 24x^3 + (36x^2 - 24x^2 - x^2) + (36x + 4x) - 54 - 54

= 16x^4 - 24x^3 + 11x^2 + 40x - 108

Therefore, the simplified expression is:

16x^4 - 24x^3 + 11x^2 + 40x - 108.