Question

the movement of the progress bar may be uneven because questions
divide: $\frac{6x^{2}y^{4}-12x^{4}y^{2}}{3x}$
$\bigcirc$ $2xy^{4}-12x^{4}y^{2}$
$\bigcirc$ $2x^{3}y^{4}-4x^{5}y^{2}$
$\bigcirc$ $2xy^{4}-4x^{3}y^{2}$
$\bigcirc$ $3xy^{4}-15x^{3}y^{2}$

Explanation:

Step1: Split the fraction

$\frac{6x^2y^4 - 12x^4y^2}{3x} = \frac{6x^2y^4}{3x} - \frac{12x^4y^2}{3x}$

Step2: Simplify first term

$\frac{6x^2y^4}{3x} = 2x^{2-1}y^4 = 2xy^4$

Step3: Simplify second term

$\frac{12x^4y^2}{3x} = 4x^{4-1}y^2 = 4x^3y^2$

Step4: Combine simplified terms

$2xy^4 - 4x^3y^2$

Answer:

$\boldsymbol{2xy^4 - 4x^3y^2}$ (third option)