Question

the movement of the progress bar may be uneven because questions can be worth more or ledivide: \\(\frac{8x^2 y^4 - 12x^4 y^2}{4x^2 y}\\)\\(\circ\\) \\(4y^3 - 16x^2 y\\)\\(\circ\\) \\(2x^4 y^5 - 3x^6 y^3\\)\\(\circ\\) \\(2y^3 - 12x^4 y^2\\)\\(\circ\\) \\(2y^3 - 3x^2 y\\)

Explanation:

Step1: Split the fraction

Split the numerator into two terms: $\frac{8x^2y^4}{4x^2y} - \frac{12x^4y^2}{4x^2y}$

Step2: Simplify the first term

For $\frac{8x^2y^4}{4x^2y}$, divide coefficients and subtract exponents: $\frac{8}{4}x^{2 - 2}y^{4 - 1} = 2y^3$

Step3: Simplify the second term

For $\frac{12x^4y^2}{4x^2y}$, divide coefficients and subtract exponents: $\frac{12}{4}x^{4 - 2}y^{2 - 1} = 3x^2y$

Step4: Combine results

Combine the simplified terms: $2y^3 - 3x^2y$

Answer:

$2y^3 - 3x^2y$ (corresponding to the option "2y³ − 3x²y")