What is (-x^2-1)-(-2x^2-4) ?

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

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simplify (-x^2-1)-(-2x^2-4)

simplify

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

x^{2} + 3

Solution steps

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

Apply rule:

(a) = a

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

= - x^{2} - 1 - (- 2 x^{2} - 4)

Apply the distributive law:

- (- a - b) = a + b

- (- 2 x^{2} - 4) = 2 x^{2} + 4

= - x^{2} - 1 + 2 x^{2} + 4

Group like terms

= - x^{2} + 2 x^{2} - 1 + 4

Add similar elements:

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

= x^{2} - 1 + 4

Add the numbers:

- 1 + 4 = 3

= x^{2} + 3

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