Simplify (x^2-4)(x-2)

$(x^{2} - 4) (x - 2)$

Expand $(x^{2} - 4) (x - 2)$ using the FOIL Method.

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Apply the distributive property.

$x^{2} (x - 2) - 4 (x - 2)$

Apply the distributive property.

$x^{2} x + x^{2} \cdot - 2 - 4 (x - 2)$

Apply the distributive property.

$x^{2} x + x^{2} \cdot - 2 - 4 x - 4 \cdot - 2$

Simplify each term.

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Multiply $x^{2}$ by $x$ by adding the exponents.

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Multiply $x^{2}$ by $x$ .

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Raise $x$ to the power of $1$ .

$x^{2} x^{1} + x^{2} \cdot - 2 - 4 x - 4 \cdot - 2$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$x^{2 + 1} + x^{2} \cdot - 2 - 4 x - 4 \cdot - 2$

Add $2$ and $1$ .

$x^{3} + x^{2} \cdot - 2 - 4 x - 4 \cdot - 2$

Move $- 2$ to the left of $x^{2}$ .

$x^{3} - 2 \cdot x^{2} - 4 x - 4 \cdot - 2$

Multiply $- 4$ by $- 2$ .

$x^{3} - 2 x^{2} - 4 x + 8$

Simplify (x^2-4)(x-2)

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