Simplify v((x-6)^2)

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

Step 1

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

$v ((x - 6) (x - 6))$

Step 2

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

Apply the distributive property.

$v (x (x - 6) - 6 (x - 6))$

Apply the distributive property.

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

Apply the distributive property.

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

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

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

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

Move $- 6$ to the left of $x$ .

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

Multiply $- 6$ by $- 6$ .

$v (x^{2} - 6 x - 6 x + 36)$

$v (x^{2} - 6 x - 6 x + 36)$

Subtract $6 x$ from $- 6 x$ .

$v (x^{2} - 12 x + 36)$

$v (x^{2} - 12 x + 36)$

Step 4

Apply the distributive property.

$v x^{2} + v (- 12 x) + v \cdot 36$

Step 5

Simplify.

Rewrite using the commutative property of multiplication.

$v x^{2} - 12 v x + v \cdot 36$

Move $36$ to the left of $v$ .

$v x^{2} - 12 v x + 36 \cdot v$

$v x^{2} - 12 v x + 36 v$

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