# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\frac{4x^2+12y\cdot x+9y^2}{3y+2x}$

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.

$3y+2x$
$\frac{4x^2+12y\cdot x+9y^2}{3y+2x}$

### Main topic:

Simplification of algebraic fractions

4

### Time to solve it:

~ 0.05 s (SnapXam)