Final Answer
Step-by-step Solution
Specify the solving method
The trinomial $4x^2+12yx+9y^2$ is a perfect square trinomial, because it's discriminant is equal to zero
Using the perfect square trinomial formula
Factoring the perfect square trinomial
Simplify the fraction $\frac{\left(2x+3y\right)^{2}}{3y+2x}$ by $3y+2x$