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

The solution to (-6x+5)-(x^2-2x-6) is -x^2-4x+11

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

simplify

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

- x^{2} - 4 x + 11

Solution steps

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

Apply rule:

(a) = a

(- 6 x + 5) = - 6 x + 5

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

Apply the distributive law:

- (a - b) = - a + b

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

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

Group like terms

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

Add similar elements:

- 6 x + 2 x = - 4 x

= - x^{2} - 4 x + 5 + 6

Add the numbers:

5 + 6 = 11

= - x^{2} - 4 x + 11

lo g_{8} (0)

\frac{ln ( 100 )}{ln ( 10 )}

- 900

+ 4 - 3

(- 2 x^{2} + 4 x - 1) - (6 x^{2} + 3 x - 9)