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

The solution to (x^2+2x+5)-(-2x^2+6) is 3x^2+2x-1

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

simplify

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

3 x^{2} + 2 x - 1

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (- a + b) = a - b

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

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

Group like terms

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

Add similar elements:

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

= 3 x^{2} + 2 x + 5 - 6

Subtract the numbers:

5 - 6 = - 1

= 3 x^{2} + 2 x - 1

(- 5 x^{2} + 5 x - 5) - (3 x^{2} + x)

(10 x^{2} + 8 x - 5) - (- 9 x^{2} - 3 x - 4)

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

(- 2 x^{2} + 3 x - 4) - (- x^{2} + 4 x - 4)

(a^{2} - 3 a)^{2}

What is (x^2+2x+5)-(-2x^2+6) ?
The solution to (x^2+2x+5)-(-2x^2+6) is 3x^2+2x-1