Answer:
6x^5 - 8x^4 + 9x^3 - 15x^2 + 4x
Step-by-step explanation:
(3x^2 - 4x)(2x^3 + 3x - 1)
Multiply the second parentheses by each term from the first parentheses
3x^2(2x^3 + 3x - 1) -4x(2x^3 + 3x - 1)
Distribute 3x^2 through the first parentheses
6x^5 + 9x^3 - 3x^2
then distribute -4x through the second parentheses
-8x^4 -12x^2 + 4x
put them together
6x^5 + 9x^3 - 3x^2 - 8x^4 -12x^2 + 4x
combine the bolded like terms above
6x^5 + 9x^3 - 15x^2 - 8x^4 + 4x
use the commutative property to reorder the terms.
<u><em>6x^5 - 8x^4 + 9x^3 - 15x^2 +4x</em></u>
