What is expand (2y^3-2y)^3 ?

The solution to expand (2y^3-2y)^3 is 8y^9-24y^7+24y^5-8y^3

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expand (2y^3-2y)^3

expand

(2 y^{3} - 2 y)^{3}

8 y^{9} - 24 y^{7} + 24 y^{5} - 8 y^{3}

Solution steps

(2 y^{3} - 2 y)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(2 y^{3})^{3} - 3 (2 y^{3})^{2} \cdot 2 y + 3 \cdot 2 y^{3} (2 y)^{2} - (2 y)^{3} : 8 y^{9} - 24 y^{7} + 24 y^{5} - 8 y^{3}

= 8 y^{9} - 24 y^{7} + 24 y^{5} - 8 y^{3}

(a + 2) (3 a - 4)

lo g_{\frac{4}{3}} (1)

\frac{4 m + 12}{3} \cdot \frac{6 m}{m + 3}

(sec^{2} (x) - 1)^{3}

\frac{x ^{3} + 7 x ^{2}}{x ^{3}}

What is expand (2y^3-2y)^3 ?
The solution to expand (2y^3-2y)^3 is 8y^9-24y^7+24y^5-8y^3