Simplify 3x(2x+4y)

$3 x (2 x + 4 y)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

$3 x (2 x) + 3 x (4 y)$

Reorder.

Rewrite using the commutative property of multiplication.

$3 \cdot 2 x \cdot x + 3 x (4 y)$

Rewrite using the commutative property of multiplication.

$3 \cdot 2 x \cdot x + 3 \cdot 4 x y$

Step 2

Simplify each term.

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

Move $x$ .

$3 \cdot 2 (x \cdot x) + 3 \cdot 4 x y$

Multiply $x$ by $x$ .

$3 \cdot 2 x^{2} + 3 \cdot 4 x y$

Multiply $3$ by $2$ .

$6 x^{2} + 3 \cdot 4 x y$

Multiply $3$ by $4$ .

$6 x^{2} + 12 x y$