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

⚠ An implicit product after / is included in the denominator: write a/(b*c) for this reading or (a/b)*c to divide then multiply

The original denominators must be nonzero:

x \neq 0

Let's simplify:

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

Let's factorize in

ℝ

2 x^{2} + 4 x

You can write the expression in factored form:

x \cdot (2 x + 4)

⇥Let's factor in

ℝ

(2 x + 4)

⇥We factor out

2

, the greatest common divisor of the coefficients:

2 x + 4

2 \cdot (x + 2)

⇥Factor identified:

x + 2

ⓘ The original denominator must remain nonzero. The fraction is simplified by dividing the numerator and the denominator by their common factor:

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

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

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

▶Simplified form:

x + 2