Simplify 6-2(4-x(x-3)-x(x-6))

$6 - 2 (4 - x (x - 3) - x (x - 6))$

Step 1

Simplify each term.

Apply the distributive property.

$6 - 2 (4 - x \cdot x - x \cdot - 3 - x (x - 6))$

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$6 - 2 (4 - (x \cdot x) - x \cdot - 3 - x (x - 6))$

Multiply $x$ by $x$ .

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

Multiply $- 3$ by $- 1$ .

$6 - 2 (4 - x^{2} + 3 x - x (x - 6))$

Apply the distributive property.

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

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

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

Multiply $x$ by $x$ .

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

Multiply $- 6$ by $- 1$ .

$6 - 2 (4 - x^{2} + 3 x - x^{2} + 6 x)$

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

$6 - 2 (4 - 2 x^{2} + 3 x + 6 x)$

Add $3 x$ and $6 x$ .

$6 - 2 (4 - 2 x^{2} + 9 x)$

Apply the distributive property.

$6 - 2 \cdot 4 - 2 (- 2 x^{2}) - 2 (9 x)$

Simplify.

Multiply $- 2$ by $4$ .

$6 - 8 - 2 (- 2 x^{2}) - 2 (9 x)$

Multiply $- 2$ by $- 2$ .

$6 - 8 + 4 x^{2} - 2 (9 x)$

Multiply $9$ by $- 2$ .

$6 - 8 + 4 x^{2} - 18 x$

Step 2

Simplify the expression.

Subtract $8$ from $6$ .

$- 2 + 4 x^{2} - 18 x$

Move $- 2$ .

$4 x^{2} - 18 x - 2$