What is (-6x^2-3x-1)-(x+8) ?

The solution to (-6x^2-3x-1)-(x+8) is -6x^2-4x-9

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simplify (-6x^2-3x-1)-(x+8)

simplify

(- 6 x^{2} - 3 x - 1) - (x + 8)

- 6 x^{2} - 4 x - 9

Solution steps

(- 6 x^{2} - 3 x - 1) - (x + 8)

Apply rule:

(a) = a

(- 6 x^{2} - 3 x - 1) = - 6 x^{2} - 3 x - 1

= - 6 x^{2} - 3 x - 1 - (x + 8)

Apply the distributive law:

- (a + b) = - a - b

- (x + 8) = - x - 8

= - 6 x^{2} - 3 x - 1 - x - 8

Group like terms

= - 6 x^{2} - 3 x - x - 1 - 8

Add similar elements:

- 3 x - x = - 4 x

= - 6 x^{2} - 4 x - 1 - 8

Subtract the numbers:

- 1 - 8 = - 9

= - 6 x^{2} - 4 x - 9

(x + y + z) (x + y - z)

- 3 (1 - 5 x)

(1 - 5 q) + 2 (2.5 q + 8)

(5 x + 6)^{2}

\frac{27}{9}