Answer :

Final answer:

To simplify the expression (96x⁶-60x⁵+32x⁴)/(12x⁴), divide each term in the numerator by the denominator. The simplified expression is 8x² - 5x + 8/3.

Explanation:

To simplify the expression (96x⁶-60x⁵+32x⁴)/(12x⁴), we divide each term in the numerator by the denominator. When dividing variables with the same base, we subtract their exponents. In this case, we have:

  • 96x⁶ ÷ 12x⁴ = 8x²
  • -60x⁵ ÷ 12x⁴ = -5x
  • 32x⁴ ÷ 12x⁴ = 8/3

Therefore, the simplified expression is 8x² - 5x + 8/3.

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