What is (-x^2-5x)-(-6x^2+5x+6) ?

The solution to (-x^2-5x)-(-6x^2+5x+6) is 5x^2-10x-6

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simplify (-x^2-5x)-(-6x^2+5x+6)

simplify

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

5 x^{2} - 10 x - 6

Solution steps

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

Apply rule:

(a) = a

(- x^{2} - 5 x) = - x^{2} - 5 x

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

Apply the distributive law:

- (- a + b) = a - b

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

= - x^{2} - 5 x + 6 x^{2} - 5 x - 6

Group like terms

= - x^{2} + 6 x^{2} - 5 x - 5 x - 6

Add similar elements:

- x^{2} + 6 x^{2} = 5 x^{2}

= 5 x^{2} - 5 x - 5 x - 6

Add similar elements:

- 5 x - 5 x = - 10 x

= 5 x^{2} - 10 x - 6

\frac{x + 1}{3} - \frac{x}{4}

2 x (4 x - 2) - x (3 x + 1) + x - 4 + 2 x^{2}

- 2 y + 14 - 9 y + 5

2 (- 2 x - 4)

- 6 (z - 1)

What is (-x^2-5x)-(-6x^2+5x+6) ?
The solution to (-x^2-5x)-(-6x^2+5x+6) is 5x^2-10x-6