What is expand (4m^4+81n^u)^3 ?

The solution to expand (4m^4+81n^u)^3 is 64m^{12}+3888m^8n^u+78732m^4n^{2u}+531441n^{3u}

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expand (4m^4+81n^u)^3

expand

(4 m^{4} + 81 n^{u})^{3}

64 m^{12} + 3888 m^{8} n^{u} + 78732 m^{4} n^{2 u} + 531441 n^{3 u}

Solution steps

(4 m^{4} + 81 n^{u})^{3}

Apply Perfect Cube Formula:

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

(4 m^{4} + 81 n^{u})^{3} = (4 m^{4})^{3} + 3 (4 m^{4})^{2} \cdot 81 n^{u} + 3 \cdot 4 m^{4} (81 n^{u})^{2} + (81 n^{u})^{3}

= (4 m^{4})^{3} + 3 (4 m^{4})^{2} \cdot 81 n^{u} + 3 \cdot 4 m^{4} (81 n^{u})^{2} + (81 n^{u})^{3}

Simplify

(4 m^{4})^{3} + 3 (4 m^{4})^{2} \cdot 81 n^{u} + 3 \cdot 4 m^{4} (81 n^{u})^{2} + (81 n^{u})^{3} : 64 m^{12} + 3888 m^{8} n^{u} + 78732 m^{4} n^{2 u} + 531441 n^{3 u}

= 64 m^{12} + 3888 m^{8} n^{u} + 78732 m^{4} n^{2 u} + 531441 n^{3 u}

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

p^{3} - 343

(3 b + 6 a)^{3}

\frac{( 5 m \cdot n ^{3} ) ^{3}}{( ( 3 m ^{2} \cdot n ^{4} ) ^{2} )}

(2 x + 5 y) - (3 x + 3 y)

What is expand (4m^4+81n^u)^3 ?
The solution to expand (4m^4+81n^u)^3 is 64m^{12}+3888m^8n^u+78732m^4n^{2u}+531441n^{3u}