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Answer:
C. [tex]16x^{4}+ 16x^{3} - 12x^{2} - 32x-16[/tex]
Step-by-step explanation:
Starting with:
(8x² - 4x - 8)(2x² + 3x + 2)
Begin multiplying the first equation by each of the second equation's terms:
2x²(8x² - 4x - 8) + 3x(8x² - 4x - 8) + 2(8x² -4x - 8)
Distribute:
[tex]16x^{4}- 8x^{3}- 16x^{2} + 24x^{3} - 12x^{2} - 24x + 16x^{2} - 8x -16[/tex]
Simplify by combining like terms:
[tex]16x^{4}+ 16x^{3} - 12x^{2} - 32x-16[/tex]
Therefore, the correct answer is C.
