What is (-5x^2+5x)-(-8x^2-9) ?

The solution to (-5x^2+5x)-(-8x^2-9) is 3x^2+5x+9

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simplify (-5x^2+5x)-(-8x^2-9)

simplify

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

3 x^{2} + 5 x + 9

Solution steps

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

Apply rule:

(a) = a

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

= - 5 x^{2} + 5 x - (- 8 x^{2} - 9)

Apply the distributive law:

- (- a - b) = a + b

- (- 8 x^{2} - 9) = 8 x^{2} + 9

= - 5 x^{2} + 5 x + 8 x^{2} + 9

Group like terms

= - 5 x^{2} + 8 x^{2} + 5 x + 9

Add similar elements:

- 5 x^{2} + 8 x^{2} = 3 x^{2}

= 3 x^{2} + 5 x + 9

(18)^{2}

(7 a + 5 b) (7 a - 5 b)

2 (2 x + 1) + 1

(2^{- 1} + 3^{- 1})^{- 1}

1 - 1

What is (-5x^2+5x)-(-8x^2-9) ?
The solution to (-5x^2+5x)-(-8x^2-9) is 3x^2+5x+9