Simplify (x+(-17))(x+(-17))

$(x + (- 17)) (x + (- 17))$

Step 1

Remove parentheses.

$(x - 17) (x - 17)$

Step 2

Expand $(x - 17) (x - 17)$ using the FOIL Method.

Apply the distributive property.

$x (x - 17) - 17 (x - 17)$

Apply the distributive property.

$x \cdot x + x \cdot - 17 - 17 (x - 17)$

Apply the distributive property.

$x \cdot x + x \cdot - 17 - 17 x - 17 \cdot - 17$

$x \cdot x + x \cdot - 17 - 17 x - 17 \cdot - 17$

Step 3

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot - 17 - 17 x - 17 \cdot - 17$

Move $- 17$ to the left of $x$ .

$x^{2} - 17 \cdot x - 17 x - 17 \cdot - 17$

Multiply $- 17$ by $- 17$ .

$x^{2} - 17 x - 17 x + 289$

$x^{2} - 17 x - 17 x + 289$

Subtract $17 x$ from $- 17 x$ .

$x^{2} - 34 x + 289$

$x^{2} - 34 x + 289$

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