Question

Divide: 6x³y² / 4x²y² - 2xy⁴.

a) 3x²y / 2x - y²
b) 3x² / 2x - y²
c) 3x² / 2x - xy²
d) 3x² / 2xy - y²

Answer 1

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).