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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