What is expand (-1-sqrt(37))^3 ?

The solution to expand (-1-sqrt(37))^3 is -112-40sqrt(37)

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expand (-1-sqrt(37))^3

expand

(- 1 - 37)^{3}

- 112 - 4037

Decimal Notation

- 355.31050 \dots

Solution steps

(- 1 - 37)^{3}

Apply Perfect Cube Formula:

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

(- 1 - 37)^{3} = (- 1)^{3} - 3 (- 1)^{2} 37 + 3 (- 1) (37)^{2} - (37)^{3}

= (- 1)^{3} - 3 (- 1)^{2} 37 + 3 (- 1) (37)^{2} - (37)^{3}

(- 1)^{3} - 3 (- 1)^{2} 37 + 3 (- 1) (37)^{2} - (37)^{3} = - 112 - 4037

= - 112 - 4037

(x - 1) \cdot x^{\frac{x}{2}}

\frac{d ^{2}}{d x ^{2}} ((y) (3 x - y + 3))

\frac{1}{S ( S ^{2} + 0.2 S + 1 )}

(x + y - 1) d x + (y - x - 5) d y

(x (4 y d x + 2 x d y) + y^{3} (3 y x + 5 x d y)) (x^{α} y^{β})

What is expand (-1-sqrt(37))^3 ?
The solution to expand (-1-sqrt(37))^3 is -112-40sqrt(37)