What is (-5a^3-2a^2)+(6a^3+9a^2+8a) ?

The solution to (-5a^3-2a^2)+(6a^3+9a^2+8a) is a^3+7a^2+8a

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simplify (-5a^3-2a^2)+(6a^3+9a^2+8a)

simplify

(- 5 a^{3} - 2 a^{2}) + (6 a^{3} + 9 a^{2} + 8 a)

a^{3} + 7 a^{2} + 8 a

Solution steps

(- 5 a^{3} - 2 a^{2}) + (6 a^{3} + 9 a^{2} + 8 a)

Simplify

(- 5 a^{3} - 2 a^{2}) + (6 a^{3} + 9 a^{2} + 8 a) : - 5 a^{3} - 2 a^{2} + 6 a^{3} + 9 a^{2} + 8 a

= - 5 a^{3} - 2 a^{2} + 6 a^{3} + 9 a^{2} + 8 a

Group like terms

= - 5 a^{3} + 6 a^{3} - 2 a^{2} + 9 a^{2} + 8 a

Add similar elements:

- 5 a^{3} + 6 a^{3} = a^{3}

= a^{3} - 2 a^{2} + 9 a^{2} + 8 a

Add similar elements:

- 2 a^{2} + 9 a^{2} = 7 a^{2}

= a^{3} + 7 a^{2} + 8 a

(2 t + 4)^{3}

(- 5 + 3 i) (9 - 7 i)

(3 a^{3} + x^{2})^{2}

(3 + i) + (- 12 - 9 i)

(2 a - 1) (8 a - 5)

What is (-5a^3-2a^2)+(6a^3+9a^2+8a) ?
The solution to (-5a^3-2a^2)+(6a^3+9a^2+8a) is a^3+7a^2+8a