Simplify (3n+2)(n+3)

$(3 n + 2) (n + 3)$

Step 1

Expand $(3 n + 2) (n + 3)$ using the FOIL Method.

Apply the distributive property.

$3 n (n + 3) + 2 (n + 3)$

Apply the distributive property.

$3 n \cdot n + 3 n \cdot 3 + 2 (n + 3)$

Apply the distributive property.

$3 n \cdot n + 3 n \cdot 3 + 2 n + 2 \cdot 3$

$3 n \cdot n + 3 n \cdot 3 + 2 n + 2 \cdot 3$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $n$ by $n$ by adding the exponents.

Move $n$ .

$3 (n \cdot n) + 3 n \cdot 3 + 2 n + 2 \cdot 3$

Multiply $n$ by $n$ .

$3 n^{2} + 3 n \cdot 3 + 2 n + 2 \cdot 3$

$3 n^{2} + 3 n \cdot 3 + 2 n + 2 \cdot 3$

Multiply $3$ by $3$ .

$3 n^{2} + 9 n + 2 n + 2 \cdot 3$

Multiply $2$ by $3$ .

$3 n^{2} + 9 n + 2 n + 6$

$3 n^{2} + 9 n + 2 n + 6$

Add $9 n$ and $2 n$ .

$3 n^{2} + 11 n + 6$

$3 n^{2} + 11 n + 6$

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