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 $10$ .

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

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

Add $10 x$ and $10 x$ .

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

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

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