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

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

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

simplify

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

- 3 x^{2} - 5 x - 9

Solution steps

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

Apply rule:

(a) = a

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

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

Apply the distributive law:

- (- a + b) = a - b

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

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

Group like terms

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

Add similar elements:

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

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

- 20 - (- 4)

212 - 73

53 + 43

(3 x - 8) + (4 x + 2)

8 x^{3} + 20 x^{2} - 18 x - 45

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