Pre-Algebra Examples

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

Step 1

Simplify each term.

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Step 1.1

Apply the distributive property.

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

Step 1.2

Multiply $- 2$ by $- 1$ .

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

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

Step 2

Simplify by adding terms.

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Step 2.1

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

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

Step 2.2

Add $2 x$ and $2 x$ .

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

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

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