Simplify (4x+6)(4x-6)

$(4 x + 6) (4 x - 6)$

Step 1

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

Apply the distributive property.

$4 x (4 x - 6) + 6 (4 x - 6)$

Apply the distributive property.

$4 x (4 x) + 4 x \cdot - 6 + 6 (4 x - 6)$

Apply the distributive property.

$4 x (4 x) + 4 x \cdot - 6 + 6 (4 x) + 6 \cdot - 6$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$4 \cdot 4 x \cdot x + 4 x \cdot - 6 + 6 (4 x) + 6 \cdot - 6$

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

Move $x$ .

$4 \cdot 4 (x \cdot x) + 4 x \cdot - 6 + 6 (4 x) + 6 \cdot - 6$

Multiply $x$ by $x$ .

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

Multiply $4$ by $4$ .

$16 x^{2} + 4 x \cdot - 6 + 6 (4 x) + 6 \cdot - 6$

Multiply $- 6$ by $4$ .

$16 x^{2} - 24 x + 6 (4 x) + 6 \cdot - 6$

Multiply $4$ by $6$ .

$16 x^{2} - 24 x + 24 x + 6 \cdot - 6$

Multiply $6$ by $- 6$ .

$16 x^{2} - 24 x + 24 x - 36$

Add $- 24 x$ and $24 x$ .

$16 x^{2} + 0 - 36$

Add $16 x^{2}$ and $0$ .

$16 x^{2} - 36$