What is (-4x^2+x)-(-8x^2-2x+6) ?

The solution to (-4x^2+x)-(-8x^2-2x+6) is 4x^2+3x-6

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simplify (-4x^2+x)-(-8x^2-2x+6)

simplify

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

4 x^{2} + 3 x - 6

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (- a - b) = a + b

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

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

Group like terms

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

Add similar elements:

- 4 x^{2} + 8 x^{2} = 4 x^{2}

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

Add similar elements:

x + 2 x = 3 x

= 4 x^{2} + 3 x - 6

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

(a + 3) (a - 2)

3 (x - 1)

(4 x + 5)^{3}

(5 x + 2) (x^{2} - 3 x + 6)

What is (-4x^2+x)-(-8x^2-2x+6) ?
The solution to (-4x^2+x)-(-8x^2-2x+6) is 4x^2+3x-6