Break Down the Expression: Simplifying 4x² + 3x Step by Step

The expression can be broken down as follows:

$4x^2 + 3x$

1. Notice that both terms contain a common factor of $x$.

2. Factor out the common $x$:

$x(4x + 3)$.

3. Thus, breaking down each term we have:

- $4x^2$ becomes $4x \cdot x$ after factoring out $x$.

- $3x$ remains $3 \cdot x$ after factoring out $x$.

Finally, the expression is:

$4x\cdot x + 3\cdot x$