Simplify (6n+3)(6n-4)

$(6 n + 3) (6 n - 4)$

Step 1

Expand $(6 n + 3) (6 n - 4)$ using the FOIL Method.

Apply the distributive property.

$6 n (6 n - 4) + 3 (6 n - 4)$

Apply the distributive property.

$6 n (6 n) + 6 n \cdot - 4 + 3 (6 n - 4)$

Apply the distributive property.

$6 n (6 n) + 6 n \cdot - 4 + 3 (6 n) + 3 \cdot - 4$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$6 \cdot 6 n \cdot n + 6 n \cdot - 4 + 3 (6 n) + 3 \cdot - 4$

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

Move $n$ .

$6 \cdot 6 (n \cdot n) + 6 n \cdot - 4 + 3 (6 n) + 3 \cdot - 4$

Multiply $n$ by $n$ .

$6 \cdot 6 n^{2} + 6 n \cdot - 4 + 3 (6 n) + 3 \cdot - 4$

Multiply $6$ by $6$ .

$36 n^{2} + 6 n \cdot - 4 + 3 (6 n) + 3 \cdot - 4$

Multiply $- 4$ by $6$ .

$36 n^{2} - 24 n + 3 (6 n) + 3 \cdot - 4$

Multiply $6$ by $3$ .

$36 n^{2} - 24 n + 18 n + 3 \cdot - 4$

Multiply $3$ by $- 4$ .

$36 n^{2} - 24 n + 18 n - 12$

Add $- 24 n$ and $18 n$ .

$36 n^{2} - 6 n - 12$