Simplify (6x-5)^2

${(6 x - 5)}^{2}$

Rewrite ${(6 x - 5)}^{2}$ as $(6 x - 5) (6 x - 5)$ .

$(6 x - 5) (6 x - 5)$

Expand $(6 x - 5) (6 x - 5)$ using the FOIL Method.

Apply the distributive property.

$6 x (6 x - 5) - 5 (6 x - 5)$

Apply the distributive property.

$6 x (6 x) + 6 x \cdot - 5 - 5 (6 x - 5)$

Apply the distributive property.

$6 x (6 x) + 6 x \cdot - 5 - 5 (6 x) - 5 \cdot - 5$

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$6 \cdot 6 x \cdot x + 6 x \cdot - 5 - 5 (6 x) - 5 \cdot - 5$

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

Move $x$ .

$6 \cdot 6 (x \cdot x) + 6 x \cdot - 5 - 5 (6 x) - 5 \cdot - 5$

Multiply $x$ by $x$ .

$6 \cdot 6 x^{2} + 6 x \cdot - 5 - 5 (6 x) - 5 \cdot - 5$

Multiply $6$ by $6$ .

$36 x^{2} + 6 x \cdot - 5 - 5 (6 x) - 5 \cdot - 5$

Multiply $- 5$ by $6$ .

$36 x^{2} - 30 x - 5 (6 x) - 5 \cdot - 5$

Multiply $6$ by $- 5$ .

$36 x^{2} - 30 x - 30 x - 5 \cdot - 5$

Multiply $- 5$ by $- 5$ .

$36 x^{2} - 30 x - 30 x + 25$

Subtract $30 x$ from $- 30 x$ .

$36 x^{2} - 60 x + 25$