What is (-x^2-3x+3)-(-x^2-9x+6) ?

The solution to (-x^2-3x+3)-(-x^2-9x+6) is 6x-3

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simplify (-x^2-3x+3)-(-x^2-9x+6)

simplify

(- x^{2} - 3 x + 3) - (- x^{2} - 9 x + 6)

6 x - 3

Solution steps

(- x^{2} - 3 x + 3) - (- x^{2} - 9 x + 6)

Apply rule:

(a) = a

(- x^{2} - 3 x + 3) = - x^{2} - 3 x + 3

= - x^{2} - 3 x + 3 - (- x^{2} - 9 x + 6)

Apply the distributive law:

- (- a - b) = a + b

- (- x^{2} - 9 x + 6) = x^{2} + 9 x - 6

= - x^{2} - 3 x + 3 + x^{2} + 9 x - 6

Group like terms

= - x^{2} + x^{2} - 3 x + 9 x + 3 - 6

Add similar elements:

- x^{2} + x^{2} = 0

= - 3 x + 9 x + 3 - 6

Add similar elements:

- 3 x + 9 x = 6 x

= 6 x + 3 - 6

Subtract the numbers:

3 - 6 = - 3

= 6 x - 3

(8 x^{2} - 7 x + 8) - (4 x^{2} - 3 x + 3)

(x + 1)^{3} - x^{3} - 3 x^{2}

18 x y + 3 y

(2 x^{2} + 10 x - 2) - (- 8 x^{2} + 7 x + 7)

(- 8 x + 10) - (3 x^{2} - x + 6)

What is (-x^2-3x+3)-(-x^2-9x+6) ?
The solution to (-x^2-3x+3)-(-x^2-9x+6) is 6x-3