What is expand (y^3-4x)^3 ?

The solution to expand (y^3-4x)^3 is y^9-12y^6x+48y^3x^2-64x^3

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expand (y^3-4x)^3

expand

(y^{3} - 4 x)^{3}

y^{9} - 12 y^{6} x + 48 y^{3} x^{2} - 64 x^{3}

Solution steps

(y^{3} - 4 x)^{3}

Apply Perfect Cube Formula:

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

(y^{3} - 4 x)^{3} = (y^{3})^{3} - 3 (y^{3})^{2} \cdot 4 x + 3 y^{3} (4 x)^{2} - (4 x)^{3}

= (y^{3})^{3} - 3 (y^{3})^{2} \cdot 4 x + 3 y^{3} (4 x)^{2} - (4 x)^{3}

Simplify

(y^{3})^{3} - 3 (y^{3})^{2} \cdot 4 x + 3 y^{3} (4 x)^{2} - (4 x)^{3} : y^{9} - 12 y^{6} x + 48 y^{3} x^{2} - 64 x^{3}

= y^{9} - 12 y^{6} x + 48 y^{3} x^{2} - 64 x^{3}

(1 + 2 i) (- 8 - i)

\frac{tan ( x ) - cot ( x )}{tan ( x ) + cot ( x )} + cos^{2} (x)

- 2 \cdot (- 4)

(4 y - 1)^{3}

2 x (n - 1) - 3 y (n - 1)

What is expand (y^3-4x)^3 ?
The solution to expand (y^3-4x)^3 is y^9-12y^6x+48y^3x^2-64x^3