What is expand (a-sqrt(2))^3 ?

The solution to expand (a-sqrt(2))^3 is a^3-3sqrt(2)a^2+6a-2sqrt(2)

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expand (a-sqrt(2))^3

expand

(a - 2)^{3}

a^{3} - 32 a^{2} + 6 a - 22

Solution steps

(a - 2)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

a^{3} - 3 a^{2} 2 + 3 a (2)^{2} - (2)^{3} : a^{3} - 32 a^{2} + 6 a - 22

= a^{3} - 32 a^{2} + 6 a - 22

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(3 x + 3 d x - 5) (3 x + 3 d x - 5)

x^{2} \cdot (ln (x + 2) - 1) d x

- \frac{3}{4} (x + 2) (x + 1) (x - 3)

What is expand (a-sqrt(2))^3 ?
The solution to expand (a-sqrt(2))^3 is a^3-3sqrt(2)a^2+6a-2sqrt(2)