Simplify (u-6)^2

${(u - 6)}^{2}$

Step 1

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

$(u - 6) (u - 6)$

Step 2

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

Apply the distributive property.

$u (u - 6) - 6 (u - 6)$

Apply the distributive property.

$u \cdot u + u \cdot - 6 - 6 (u - 6)$

Apply the distributive property.

$u \cdot u + u \cdot - 6 - 6 u - 6 \cdot - 6$

$u \cdot u + u \cdot - 6 - 6 u - 6 \cdot - 6$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $u$ by $u$ .

$u^{2} + u \cdot - 6 - 6 u - 6 \cdot - 6$

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

$u^{2} - 6 \cdot u - 6 u - 6 \cdot - 6$

Multiply $- 6$ by $- 6$ .

$u^{2} - 6 u - 6 u + 36$

$u^{2} - 6 u - 6 u + 36$

Subtract $6 u$ from $- 6 u$ .

$u^{2} - 12 u + 36$

$u^{2} - 12 u + 36$

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