Simplify (x-10)^2

${(x - 10)}^{2}$

Step 1

Rewrite ${(x - 10)}^{2}$ as $(x - 10) (x - 10)$ .

$(x - 10) (x - 10)$

Step 2

Expand $(x - 10) (x - 10)$ using the FOIL Method.

Apply the distributive property.

$x (x - 10) - 10 (x - 10)$

Apply the distributive property.

$x \cdot x + x \cdot - 10 - 10 (x - 10)$

Apply the distributive property.

$x \cdot x + x \cdot - 10 - 10 x - 10 \cdot - 10$

$x \cdot x + x \cdot - 10 - 10 x - 10 \cdot - 10$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot - 10 - 10 x - 10 \cdot - 10$

Move $- 10$ to the left of $x$ .

$x^{2} - 10 \cdot x - 10 x - 10 \cdot - 10$

Multiply $- 10$ by $- 10$ .

$x^{2} - 10 x - 10 x + 100$

$x^{2} - 10 x - 10 x + 100$

Subtract $10 x$ from $- 10 x$ .

$x^{2} - 20 x + 100$

$x^{2} - 20 x + 100$

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