Simplify (40-2x)(28-2x)

$(40 - 2 x) (28 - 2 x)$

Step 1

Expand $(40 - 2 x) (28 - 2 x)$ using the FOIL Method.

Apply the distributive property.

$40 (28 - 2 x) - 2 x (28 - 2 x)$

Apply the distributive property.

$40 \cdot 28 + 40 (- 2 x) - 2 x (28 - 2 x)$

Apply the distributive property.

$40 \cdot 28 + 40 (- 2 x) - 2 x \cdot 28 - 2 x (- 2 x)$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $40$ by $28$ .

$1120 + 40 (- 2 x) - 2 x \cdot 28 - 2 x (- 2 x)$

Multiply $- 2$ by $40$ .

$1120 - 80 x - 2 x \cdot 28 - 2 x (- 2 x)$

Multiply $28$ by $- 2$ .

$1120 - 80 x - 56 x - 2 x (- 2 x)$

Rewrite using the commutative property of multiplication.

$1120 - 80 x - 56 x - 2 \cdot - 2 x \cdot x$

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

Move $x$ .

$1120 - 80 x - 56 x - 2 \cdot - 2 (x \cdot x)$

Multiply $x$ by $x$ .

$1120 - 80 x - 56 x - 2 \cdot - 2 x^{2}$

Multiply $- 2$ by $- 2$ .

$1120 - 80 x - 56 x + 4 x^{2}$

Subtract $56 x$ from $- 80 x$ .

$1120 - 136 x + 4 x^{2}$