simplify (2x^2+4x)/2x — step-by-step solution

Let's simplify:

\frac{2 x^{2} + 4 x}{2 x}

We first try to factorize the numerator

Let's factorize in

ℝ

2 x^{2} + 4 x

You can factorize this expression into:

x \cdot (2 x + 4)

Let's factorize in

ℝ

(2 x + 4)

This expression can be factorized into:

2 \cdot (x + 2)

Factor found:

(x + 2)

With the new factorized numerator, we try to simplify the new quotient:

\frac{2 x \cdot (x + 2)}{x}

\frac{2 \cdot (x + 2)}{2}

▷Answer: $x + 2$