Simplify (3x+y)(3x+y)

$(3 x + y) (3 x + y)$

Expand $(3 x + y) (3 x + y)$ using the FOIL Method.

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Apply the distributive property.

$3 x (3 x + y) + y (3 x + y)$

Apply the distributive property.

$3 x (3 x) + 3 x y + y (3 x + y)$

Apply the distributive property.

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

Simplify and combine like terms.

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Simplify each term.

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Multiply $x$ by $x$ .

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

Multiply $3$ by $3$ .

$9 x^{2} + 3 x y + y (3 x) + y \cdot y$

Rewrite using the commutative property of multiplication.

$9 x^{2} + 3 x y + 3 y x + y \cdot y$

Multiply $y$ by $y$ .

$9 x^{2} + 3 x y + 3 y x + y^{2}$

Add $3 x y$ and $3 y x$ .

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Move $y$ .

$9 x^{2} + 3 x y + 3 x y + y^{2}$

Add $3 x y$ and $3 x y$ .

$9 x^{2} + 6 x y + y^{2}$

Simplify (3x+y)(3x+y)

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