Question

What is the missing factor in the equation? Assume x * 0 and y* 0.

Answer 1

Answer:

$\sf b) \quad \dfrac{y^3}{4x}$

Explanation:

$\sf \left(\dfrac{6x^2}{5y}\right) \left(?}\right) = \left(\dfrac{3xy^2}{10}\right)$

cross multiply variables

$\sf ? = \left(\dfrac{3xy^2 (5y)}{10(6x^2)}\right)$

distribute inside parenthesis

$\sf ? = \left(\dfrac{15xy^3}{60x^2}\right)$

remove parenthesis and simplify

$\sf ? = \dfrac{y^3}{4x}$