Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $- 2$ by $4$ .

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

Step 1.3

Apply the distributive property.

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

Step 1.4

Multiply $- 2$ by $- 3$ .

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

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

Step 2

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

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

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$