What is (-x^2+2x)-(x^2-2x) ?

The solution to (-x^2+2x)-(x^2-2x) is -2x^2+4x

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simplify (-x^2+2x)-(x^2-2x)

simplify

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

- 2 x^{2} + 4 x

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (a - b) = - a + b

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

= - x^{2} + 2 x - x^{2} + 2 x

Group like terms

= - x^{2} - x^{2} + 2 x + 2 x

Add similar elements:

- x^{2} - x^{2} = - 2 x^{2}

= - 2 x^{2} + 2 x + 2 x

Add similar elements:

2 x + 2 x = 4 x

= - 2 x^{2} + 4 x

\frac{ab}{9 a ^{2} - b ^{2}} + \frac{a}{3 a + b}

\frac{4}{- 3}

(p + 5 q)^{2}

9 x^{4}

7 + 4 t + 5 (11 - 3 t)