Simplify (x+7)^2

${(x + 7)}^{2}$

Step 1

Rewrite ${(x + 7)}^{2}$ as $(x + 7) (x + 7)$ .

$(x + 7) (x + 7)$

Step 2

Expand $(x + 7) (x + 7)$ using the FOIL Method.

Apply the distributive property.

$x (x + 7) + 7 (x + 7)$

Apply the distributive property.

$x \cdot x + x \cdot 7 + 7 (x + 7)$

Apply the distributive property.

$x \cdot x + x \cdot 7 + 7 x + 7 \cdot 7$

$x \cdot x + x \cdot 7 + 7 x + 7 \cdot 7$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 7 + 7 x + 7 \cdot 7$

Move $7$ to the left of $x$ .

$x^{2} + 7 \cdot x + 7 x + 7 \cdot 7$

Multiply $7$ by $7$ .

$x^{2} + 7 x + 7 x + 49$

$x^{2} + 7 x + 7 x + 49$

Add $7 x$ and $7 x$ .

$x^{2} + 14 x + 49$

$x^{2} + 14 x + 49$

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