Simplify (5-8x)^2

${(5 - 8 x)}^{2}$

Rewrite ${(5 - 8 x)}^{2}$ as $(5 - 8 x) (5 - 8 x)$ .

$(5 - 8 x) (5 - 8 x)$

Expand $(5 - 8 x) (5 - 8 x)$ using the FOIL Method.

Apply the distributive property.

$5 (5 - 8 x) - 8 x (5 - 8 x)$

Apply the distributive property.

$5 \cdot 5 + 5 (- 8 x) - 8 x (5 - 8 x)$

Apply the distributive property.

$5 \cdot 5 + 5 (- 8 x) - 8 x \cdot 5 - 8 x (- 8 x)$

Simplify and combine like terms.

Simplify each term.

Multiply $5$ by $5$ .

$25 + 5 (- 8 x) - 8 x \cdot 5 - 8 x (- 8 x)$

Multiply $- 8$ by $5$ .

$25 - 40 x - 8 x \cdot 5 - 8 x (- 8 x)$

Multiply $5$ by $- 8$ .

$25 - 40 x - 40 x - 8 x (- 8 x)$

Rewrite using the commutative property of multiplication.

$25 - 40 x - 40 x - 8 \cdot - 8 x \cdot x$

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

Move $x$ .

$25 - 40 x - 40 x - 8 \cdot - 8 (x \cdot x)$

Multiply $x$ by $x$ .

$25 - 40 x - 40 x - 8 \cdot - 8 x^{2}$

Multiply $- 8$ by $- 8$ .

$25 - 40 x - 40 x + 64 x^{2}$

Subtract $40 x$ from $- 40 x$ .

$25 - 80 x + 64 x^{2}$