Algebra Examples

(3 n + 2) (n + 3)

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

Step 1

Expand

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

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Step 1.1

Apply the distributive property.

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

Step 1.2

Apply the distributive property.

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

Step 1.3

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.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply

$n$ by

$n$ by adding the exponents.

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Step 2.1.1.1

Move

$n$ .

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

Step 2.1.1.2

Multiply

$n$ by

$n$ .

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

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

Step 2.1.2

Multiply

$3$ by

$3$ .

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

Step 2.1.3

Multiply

$2$ by

$3$ .

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

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

Step 2.2

Add

$9 n$ and

$2 n$ .

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

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

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

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