Simplify (x+1)(2x)

$(x + 1) (2 x)$

Step 1

Apply the distributive property.

$x (2 x) + 1 (2 x)$

Step 2

Simplify the expression.

Rewrite using the commutative property of multiplication.

$2 x \cdot x + 1 (2 x)$

Multiply $2 x$ by $1$ .

$2 x \cdot x + 2 x$

Step 3

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

Move $x$ .

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

Multiply $x$ by $x$ .

$2 x^{2} + 2 x$