Simplify xy(3+2x)

$x y (3 + 2 x)$

Step 1

Simplify by multiplying through.

Apply the distributive property.

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

Reorder.

Move $3$ to the left of $x y$ .

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

Rewrite using the commutative property of multiplication.

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

Step 2

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

Move $x$ .

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

Multiply $x$ by $x$ .

$3 x y + 2 x^{2} y$