What is (-2x^2-4x+2)-(-6x+2) ?

The solution to (-2x^2-4x+2)-(-6x+2) is -2x^2+2x

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simplify (-2x^2-4x+2)-(-6x+2)

simplify

(- 2 x^{2} - 4 x + 2) - (- 6 x + 2)

- 2 x^{2} + 2 x

Solution steps

(- 2 x^{2} - 4 x + 2) - (- 6 x + 2)

Apply rule:

(a) = a

(- 2 x^{2} - 4 x + 2) = - 2 x^{2} - 4 x + 2

= - 2 x^{2} - 4 x + 2 - (- 6 x + 2)

Apply the distributive law:

- (- a + b) = a - b

- (- 6 x + 2) = 6 x - 2

= - 2 x^{2} - 4 x + 2 + 6 x - 2

Group like terms

= - 2 x^{2} - 4 x + 6 x + 2 - 2

Add similar elements:

- 4 x + 6 x = 2 x

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

Subtract the numbers:

2 - 2 = 0

= - 2 x^{2} + 2 x

(- 4 x^{2} + x) - (- 8 x^{2} - 2 x + 6)

(- 3.4 k - 7) + (3 k + 21)

(a + 3) (a - 2)

3 (x - 1)

(4 x + 5)^{3}