Simplify (4x+1)(4x-3)

$(4 x + 1) (4 x - 3)$

Step 1

Expand $(4 x + 1) (4 x - 3)$ using the FOIL Method.

Apply the distributive property.

$4 x (4 x - 3) + 1 (4 x - 3)$

Apply the distributive property.

$4 x (4 x) + 4 x \cdot - 3 + 1 (4 x - 3)$

Apply the distributive property.

$4 x (4 x) + 4 x \cdot - 3 + 1 (4 x) + 1 \cdot - 3$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$4 \cdot 4 x \cdot x + 4 x \cdot - 3 + 1 (4 x) + 1 \cdot - 3$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$4 \cdot 4 (x \cdot x) + 4 x \cdot - 3 + 1 (4 x) + 1 \cdot - 3$

Multiply $x$ by $x$ .

$4 \cdot 4 x^{2} + 4 x \cdot - 3 + 1 (4 x) + 1 \cdot - 3$

Multiply $4$ by $4$ .

$16 x^{2} + 4 x \cdot - 3 + 1 (4 x) + 1 \cdot - 3$

Multiply $- 3$ by $4$ .

$16 x^{2} - 12 x + 1 (4 x) + 1 \cdot - 3$

Multiply $4 x$ by $1$ .

$16 x^{2} - 12 x + 4 x + 1 \cdot - 3$

Multiply $- 3$ by $1$ .

$16 x^{2} - 12 x + 4 x - 3$

Add $- 12 x$ and $4 x$ .

$16 x^{2} - 8 x - 3$