C.![2x^{2}y^{3}+3y](/tpl/images/0424/7145/60b9e.png)
Step-by-step explanation:
We have the expression:
![\frac{14x^5y^4+21x^3y^2}{7x^3y}](/tpl/images/0424/7145/0595e.png)
which can be separeded in two terms, like this:
![\frac{14x^5y^4}{7x^3y} +\frac{21x^3y^2}{7x^3y}](/tpl/images/0424/7145/c5fd4.png)
and now we can simplify each term, dividing the coefficients and using the exponent law
(when we divide a variable we substract the exponts) and we get the following:
![2x^{5-3}y^{4-1}+3x^{3-3}y^{2-1}](/tpl/images/0424/7145/f49f7.png)
simplifying the exponents:
![2x^{2}y^{3}+3y](/tpl/images/0424/7145/60b9e.png)
which is option C.