What is (x+1)-(x^2-x-2) ?

The solution to (x+1)-(x^2-x-2) is -x^2+2x+3

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simplify (x+1)-(x^2-x-2)

simplify

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

- x^{2} + 2 x + 3

Solution steps

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

Apply rule:

(a) = a

(x + 1) = x + 1

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

Apply the distributive law:

- (a - b) = - a + b

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

= x + 1 - x^{2} + x + 2

Group like terms

= - x^{2} + x + x + 1 + 2

Add similar elements:

x + x = 2 x

= - x^{2} + 2 x + 1 + 2

Add the numbers:

1 + 2 = 3

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

2 (- \frac{1}{2}) - 1

6 (23 + 10)

- 8 (m + 1) + 5 (3 m - 2)

\frac{21}{13}