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 $- 7$ .

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

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

Subtract $7 x$ from $- 7 x$ .

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

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

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