Write in Standard Form 4(x^2-2x)-2(x^2-3)

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

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

Simplify each term.

Apply the distributive property.

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

Multiply $- 2$ by $4$ .

$4 x^{2} - 8 x - 2 (x^{2} - 3)$

Apply the distributive property.

$4 x^{2} - 8 x - 2 x^{2} - 2 \cdot - 3$

Multiply $- 2$ by $- 3$ .

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

Subtract $2 x^{2}$ from $4 x^{2}$ .

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