Answer:
[tex]x^{4}[/tex] + 3x³ - 16x² + 27x - 18
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
x²(4x² - 5x + 6) + 2x(4x² - 5x + 6) - 3(4x² - 5x + 6)
Distribute all 3 parenthesis
= 4[tex]x^{4}[/tex] - 5x³ + 6x² + 8x³ - 10x² + 12x - 12x² + 15x - 18
Collecting like terms
= 4[tex]x^{4}[/tex] + 3x³ - 16x² + 27x - 18