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

The solution to expand (sqrt(2)x-sqrt(3))^3 is 2sqrt(2)x^3-6sqrt(3)x^2+9sqrt(2)x-3sqrt(3)

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expand (sqrt(2)x-sqrt(3))^3

expand

(2 x - 3)^{3}

22 x^{3} - 63 x^{2} + 92 x - 33

Solution steps

(2 x - 3)^{3}

Apply Perfect Cube Formula:

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

(2 x - 3)^{3} = (2 x)^{3} - 3 (2 x)^{2} 3 + 32 x (3)^{2} - (3)^{3}

= (2 x)^{3} - 3 (2 x)^{2} 3 + 32 x (3)^{2} - (3)^{3}

Simplify

(2 x)^{3} - 3 (2 x)^{2} 3 + 32 x (3)^{2} - (3)^{3} : 22 x^{3} - 63 x^{2} + 92 x - 33

= 22 x^{3} - 63 x^{2} + 92 x - 33

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

(2 x + 33)^{2}

(x + 1) e^{2 x} d x

π x (2 x + 4)^{2}

n 3 (k + m)

What is expand (sqrt(2)x-sqrt(3))^3 ?
The solution to expand (sqrt(2)x-sqrt(3))^3 is 2sqrt(2)x^3-6sqrt(3)x^2+9sqrt(2)x-3sqrt(3)