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

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

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expand (x-sqrt(2))^3

expand

(x - 2)^{3}

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

Solution steps

(x - 2)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

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

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

x (x - 3)

(c + d + e)^{2}

(2 x + 5)^{2}

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

- \frac{18 x}{( x ^{2} - 9 ) ^{2}}

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