What is expand-{-5+3x^3-[-(6/3+2)]} ?

The solution to expand-{-5+3x^3-[-(6/3+2)]} is -3x^3+1

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expand-{-5+3x^3-[-(6/3+2)]}

expand

- {- 5 + 3 x^{3} - [- (\frac{6}{3} + 2)]}

- 3 x^{3} + 1

Solution steps

- (- 5 + 3 x^{3} - (- (\frac{6}{3} + 2)))

Simplify

- 5 + 3 x^{3} - (- (\frac{6}{3} + 2)) : - 5 + 3 x^{3} + \frac{6}{3} + 2

= - (- 5 + 3 x^{3} + \frac{6}{3} + 2)

Apply the distributive law:

- (- a + b) = a - b

- (- 5 + 3 x^{3} + \frac{6}{3} + 2) = 5 - 3 x^{3} - \frac{6}{3} - 2

= 5 - 3 x^{3} - \frac{6}{3} - 2

Simplify

5 - 3 x^{3} - \frac{6}{3} - 2 : - 3 x^{3} + 1

= - 3 x^{3} + 1

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2 sin (a) (cos (3 a) + cos (a))

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What is expand-{-5+3x^3-[-(6/3+2)]} ?
The solution to expand-{-5+3x^3-[-(6/3+2)]} is -3x^3+1