Simplify (x+2)(2x)

$(x + 2) (2 x)$

Apply the distributive property.

$x (2 x) + 2 (2 x)$

Simplify the expression.

Rewrite using the commutative property of multiplication.

$2 x \cdot x + 2 (2 x)$

Multiply $2$ by $2$ .

$2 x \cdot x + 4 x$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$2 (x \cdot x) + 4 x$

Multiply $x$ by $x$ .

$2 x^{2} + 4 x$