Simplify (8n+1)(6n-3)

$(8 n + 1) (6 n - 3)$

Step 1

Expand $(8 n + 1) (6 n - 3)$ using the FOIL Method.

Apply the distributive property.

$8 n (6 n - 3) + 1 (6 n - 3)$

Apply the distributive property.

$8 n (6 n) + 8 n \cdot - 3 + 1 (6 n - 3)$

Apply the distributive property.

$8 n (6 n) + 8 n \cdot - 3 + 1 (6 n) + 1 \cdot - 3$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$8 \cdot 6 n \cdot n + 8 n \cdot - 3 + 1 (6 n) + 1 \cdot - 3$

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

Move $n$ .

$8 \cdot 6 (n \cdot n) + 8 n \cdot - 3 + 1 (6 n) + 1 \cdot - 3$

Multiply $n$ by $n$ .

$8 \cdot 6 n^{2} + 8 n \cdot - 3 + 1 (6 n) + 1 \cdot - 3$

Multiply $8$ by $6$ .

$48 n^{2} + 8 n \cdot - 3 + 1 (6 n) + 1 \cdot - 3$

Multiply $- 3$ by $8$ .

$48 n^{2} - 24 n + 1 (6 n) + 1 \cdot - 3$

Multiply $6 n$ by $1$ .

$48 n^{2} - 24 n + 6 n + 1 \cdot - 3$

Multiply $- 3$ by $1$ .

$48 n^{2} - 24 n + 6 n - 3$

Add $- 24 n$ and $6 n$ .

$48 n^{2} - 18 n - 3$