Simplify (1-6x)(x^2-4)

$(1 - 6 x) (x^{2} - 4)$

Expand $(1 - 6 x) (x^{2} - 4)$ using the FOIL Method.

Apply the distributive property.

$1 (x^{2} - 4) - 6 x (x^{2} - 4)$

Apply the distributive property.

$1 x^{2} + 1 \cdot - 4 - 6 x (x^{2} - 4)$

Apply the distributive property.

$1 x^{2} + 1 \cdot - 4 - 6 x \cdot x^{2} - 6 x \cdot - 4$

Simplify terms.

Simplify each term.

Multiply $x^{2}$ by $1$ .

$x^{2} + 1 \cdot - 4 - 6 x \cdot x^{2} - 6 x \cdot - 4$

Multiply $- 4$ by $1$ .

$x^{2} - 4 - 6 x \cdot x^{2} - 6 x \cdot - 4$

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

Move $x^{2}$ .

$x^{2} - 4 - 6 (x^{2} x) - 6 x \cdot - 4$

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

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

$x^{2} - 4 - 6 (x^{2} x^{1}) - 6 x \cdot - 4$

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

$x^{2} - 4 - 6 x^{2 + 1} - 6 x \cdot - 4$

Add $2$ and $1$ .

$x^{2} - 4 - 6 x^{3} - 6 x \cdot - 4$

Multiply $- 4$ by $- 6$ .

$x^{2} - 4 - 6 x^{3} + 24 x$

Simplify the expression.

Move $- 4$ .

$x^{2} - 6 x^{3} + 24 x - 4$

Reorder $x^{2}$ and $- 6 x^{3}$ .

$- 6 x^{3} + x^{2} + 24 x - 4$