What is expand (-5-sqrt(33))^3 ?

The solution to expand (-5-sqrt(33))^3 is -620-108sqrt(33)

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expand (-5-sqrt(33))^3

expand

(- 5 - 33)^{3}

- 620 - 10833

Solution steps

(- 5 - 33)^{3}

Apply Perfect Cube Formula:

(a - b)^{3} = a^{3} - 3 a^{2} b + 3 a b^{2} - b^{3}

(- 5 - 33)^{3} = (- 5)^{3} - 3 (- 5)^{2} 33 + 3 (- 5) (33)^{2} - (33)^{3}

= (- 5)^{3} - 3 (- 5)^{2} 33 + 3 (- 5) (33)^{2} - (33)^{3}

(- 5)^{3} - 3 (- 5)^{2} 33 + 3 (- 5) (33)^{2} - (33)^{3} = - 620 - 10833

= - 620 - 10833

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What is expand (-5-sqrt(33))^3 ?
The solution to expand (-5-sqrt(33))^3 is -620-108sqrt(33)