Simplify x^2-(x+3)^2

$x^{2} - {(x + 3)}^{2}$

Simplify each term.

Rewrite ${(x + 3)}^{2}$ as $(x + 3) (x + 3)$ .

$x^{2} - ((x + 3) (x + 3))$

Expand $(x + 3) (x + 3)$ using the FOIL Method.

Apply the distributive property.

$x^{2} - (x (x + 3) + 3 (x + 3))$

Apply the distributive property.

$x^{2} - (x \cdot x + x \cdot 3 + 3 (x + 3))$

Apply the distributive property.

$x^{2} - (x \cdot x + x \cdot 3 + 3 x + 3 \cdot 3)$

$x^{2} - (x \cdot x + x \cdot 3 + 3 x + 3 \cdot 3)$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} - (x^{2} + x \cdot 3 + 3 x + 3 \cdot 3)$

Move $3$ to the left of $x$ .

$x^{2} - (x^{2} + 3 \cdot x + 3 x + 3 \cdot 3)$

Multiply $3$ by $3$ .

$x^{2} - (x^{2} + 3 x + 3 x + 9)$

$x^{2} - (x^{2} + 3 x + 3 x + 9)$

Add $3 x$ and $3 x$ .

$x^{2} - (x^{2} + 6 x + 9)$

$x^{2} - (x^{2} + 6 x + 9)$

Apply the distributive property.

$x^{2} - x^{2} - (6 x) - 1 \cdot 9$

Simplify.

Multiply $6$ by $- 1$ .

$x^{2} - x^{2} - 6 x - 1 \cdot 9$

Multiply $- 1$ by $9$ .

$x^{2} - x^{2} - 6 x - 9$

$x^{2} - x^{2} - 6 x - 9$

$x^{2} - x^{2} - 6 x - 9$

Simplify by adding terms.

Subtract $x^{2}$ from $x^{2}$ .

$0 - 6 x - 9$

Subtract $6 x$ from $0$ .

$- 6 x - 9$

$- 6 x - 9$

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