What is (x^2-2x+6)-(2x+11) ?

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

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simplify (x^2-2x+6)-(2x+11)

simplify

(x^{2} - 2 x + 6) - (2 x + 11)

x^{2} - 4 x - 5

Solution steps

(x^{2} - 2 x + 6) - (2 x + 11)

Apply rule:

(a) = a

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

= x^{2} - 2 x + 6 - (2 x + 11)

Apply the distributive law:

- (a + b) = - a - b

- (2 x + 11) = - 2 x - 11

= x^{2} - 2 x + 6 - 2 x - 11

Group like terms

= x^{2} - 2 x - 2 x + 6 - 11

Add similar elements:

- 2 x - 2 x = - 4 x

= x^{2} - 4 x + 6 - 11

Subtract the numbers:

6 - 11 = - 5

= x^{2} - 4 x - 5

(8 a - 9 b)^{2}

lo g_{2} (20) - lo g_{2} (10)

- 2 x (x - 1)

2^{3.4}