## Step-by-step explanation

Problem to solve:

Learn how to solve simplification of algebraic fractions problems step by step online.

$\Delta=b^2-4ac=12^2-4\left(4\right)\left(9\right) = 0$

Learn how to solve simplification of algebraic fractions problems step by step online. Simplify the expression (4x^2+12y*x+9y^2)/(3y+2x). 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 by 3y+2x.