Simplify (x+8)^2

${(x + 8)}^{2}$

Step 1

Rewrite ${(x + 8)}^{2}$ as $(x + 8) (x + 8)$ .

$(x + 8) (x + 8)$

Step 2

Expand $(x + 8) (x + 8)$ using the FOIL Method.

Apply the distributive property.

$x (x + 8) + 8 (x + 8)$

Apply the distributive property.

$x \cdot x + x \cdot 8 + 8 (x + 8)$

Apply the distributive property.

$x \cdot x + x \cdot 8 + 8 x + 8 \cdot 8$

$x \cdot x + x \cdot 8 + 8 x + 8 \cdot 8$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 8 + 8 x + 8 \cdot 8$

Move $8$ to the left of $x$ .

$x^{2} + 8 \cdot x + 8 x + 8 \cdot 8$

Multiply $8$ by $8$ .

$x^{2} + 8 x + 8 x + 64$

$x^{2} + 8 x + 8 x + 64$

Add $8 x$ and $8 x$ .

$x^{2} + 16 x + 64$

$x^{2} + 16 x + 64$

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