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

131.31050 \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

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