Final answer:
To divide 6x³y² / (4x²y² - 2xy⁴), simplify the expression by factoring and canceling out common factors to get 3x²y / (2x - y²).
Step-by-step explanation:
To divide the expression: 6x³y² / (4x²y² - 2xy⁴), we can simplify the expression first. Factoring out the common terms from the denominator, we have: 6x³y² / (2xy²(2x - y²)).
Now, we can divide the numerator and denominator separately: 6x³y² / 2xy² divided by 2x - y². Canceling out common factors, we get the final simplified expression: 3x²y / (2x - y²).