Simplify 3xy(x+y)

$3 x y (x + y)$

Step 1

Apply the distributive property.

$3 x y x + 3 x y \cdot y$

Step 2

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

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

Step 3

Multiply $y$ by $y$ by adding the exponents.

Move $y$ .

$3 x^{2} y + 3 x (y \cdot y)$

Multiply $y$ by $y$ .

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

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

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