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

The solution to expand (sqrt(3)x-1)^3 is 3sqrt(3)x^3-9x^2+3sqrt(3)x-1

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

expand

(3 x - 1)^{3}

33 x^{3} - 9 x^{2} + 33 x - 1

Solution steps

(3 x - 1)^{3}

Apply Perfect Cube Formula:

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

(3 x - 1)^{3} = (3 x)^{3} - 3 (3 x)^{2} \cdot 1 + 33 x \cdot 1^{2} - 1^{3}

= (3 x)^{3} - 3 (3 x)^{2} \cdot 1 + 33 x \cdot 1^{2} - 1^{3}

Simplify

(3 x)^{3} - 3 (3 x)^{2} \cdot 1 + 33 x \cdot 1^{2} - 1^{3} : 33 x^{3} - 9 x^{2} + 33 x - 1

= 33 x^{3} - 9 x^{2} + 33 x - 1

\frac{16 x ^{2} + 40}{( x ^{2} + 0.8 x + 4 ) ( x ^{2} + 1 ) ( x ^{2} + 4 )}

(x^{3} + x^{2} - 6) l e f t (x^{2} + x + 1)

\frac{s - 6}{s ( s ^{2} - 14 s + 49 )}

\frac{2 ( 2 + s + s ^{2} + 2 s ^{4} + 6 s ^{3} )}{s ^{3} ( s + 1 ) ( s + 2 )}

What is expand (sqrt(3)x-1)^3 ?
The solution to expand (sqrt(3)x-1)^3 is 3sqrt(3)x^3-9x^2+3sqrt(3)x-1