Simplify (-x^2+2x)-(x^2-2x)

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

Step 1

Simplify each term.

Apply the distributive property.

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

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.

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

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

Add $2 x$ and $2 x$ .

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

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

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