Find the Product 6xy(2x+y)

$6 x y (2 x + y)$

Step 1

Apply the distributive property.

$6 x y (2 x) + 6 x y \cdot y$

Step 2

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

Move $x$ .

$6 (x \cdot x) y \cdot 2 + 6 x y \cdot y$

Multiply $x$ by $x$ .

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

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

Step 3

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

Move $y$ .

$6 x^{2} y \cdot 2 + 6 x (y \cdot y)$

Multiply $y$ by $y$ .

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

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

Step 4

Multiply $2$ by $6$ .

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

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