Algebra Examples

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

Step 1

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

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

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

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

Step 2.2

Multiply $- 2$ by $4$ .

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

Step 2.3

Apply the distributive property.

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

Step 2.4

Multiply $- 2$ by $- 3$ .

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

Step 3

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

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