What is (-5b^2-8b)-(-9b^3-5b^2-8b) ?

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

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simplify (-5b^2-8b)-(-9b^3-5b^2-8b)

simplify

(- 5 b^{2} - 8 b) - (- 9 b^{3} - 5 b^{2} - 8 b)

9 b^{3}

Solution steps

(- 5 b^{2} - 8 b) - (- 9 b^{3} - 5 b^{2} - 8 b)

Apply rule:

(a) = a

(- 5 b^{2} - 8 b) = - 5 b^{2} - 8 b

= - 5 b^{2} - 8 b - (- 9 b^{3} - 5 b^{2} - 8 b)

Apply the distributive law:

- (- a - b) = a + b

- (- 9 b^{3} - 5 b^{2} - 8 b) = 9 b^{3} + 5 b^{2} + 8 b

= - 5 b^{2} - 8 b + 9 b^{3} + 5 b^{2} + 8 b

Group like terms

= 9 b^{3} - 5 b^{2} + 5 b^{2} - 8 b + 8 b

Add similar elements:

- 5 b^{2} + 5 b^{2} = 0

= 9 b^{3} - 8 b + 8 b

Add similar elements:

- 8 b + 8 b = 0

= 9 b^{3}

\frac{n}{3} + 2 > 0

- \frac{1}{2} x \leq \frac{- 9}{4} + \frac{4}{5} x

x^{2} + 10 x = - 26

\frac{125}{2}

2 (4 z - 2) = 44

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