Simplify (x-11)^2

${(x - 11)}^{2}$

Step 1

Rewrite ${(x - 11)}^{2}$ as $(x - 11) (x - 11)$ .

$(x - 11) (x - 11)$

Step 2

Expand $(x - 11) (x - 11)$ using the FOIL Method.

Apply the distributive property.

$x (x - 11) - 11 (x - 11)$

Apply the distributive property.

$x \cdot x + x \cdot - 11 - 11 (x - 11)$

Apply the distributive property.

$x \cdot x + x \cdot - 11 - 11 x - 11 \cdot - 11$

$x \cdot x + x \cdot - 11 - 11 x - 11 \cdot - 11$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot - 11 - 11 x - 11 \cdot - 11$

Move $- 11$ to the left of $x$ .

$x^{2} - 11 \cdot x - 11 x - 11 \cdot - 11$

Multiply $- 11$ by $- 11$ .

$x^{2} - 11 x - 11 x + 121$

$x^{2} - 11 x - 11 x + 121$

Subtract $11 x$ from $- 11 x$ .

$x^{2} - 22 x + 121$

$x^{2} - 22 x + 121$

Related Questions