Simplify (4x-2)(4x-2)

$(4 x - 2) (4 x - 2)$

Step 1

Expand $(4 x - 2) (4 x - 2)$ using the FOIL Method.

Apply the distributive property.

$4 x (4 x - 2) - 2 (4 x - 2)$

Apply the distributive property.

$4 x (4 x) + 4 x \cdot - 2 - 2 (4 x - 2)$

Apply the distributive property.

$4 x (4 x) + 4 x \cdot - 2 - 2 (4 x) - 2 \cdot - 2$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$4 \cdot 4 x \cdot x + 4 x \cdot - 2 - 2 (4 x) - 2 \cdot - 2$

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

Move $x$ .

$4 \cdot 4 (x \cdot x) + 4 x \cdot - 2 - 2 (4 x) - 2 \cdot - 2$

Multiply $x$ by $x$ .

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

Multiply $4$ by $4$ .

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

Multiply $- 2$ by $4$ .

$16 x^{2} - 8 x - 2 (4 x) - 2 \cdot - 2$

Multiply $4$ by $- 2$ .

$16 x^{2} - 8 x - 8 x - 2 \cdot - 2$

Multiply $- 2$ by $- 2$ .

$16 x^{2} - 8 x - 8 x + 4$

Subtract $8 x$ from $- 8 x$ .

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