What is expand (2a^5+4b^3)^3 ?

The solution to expand (2a^5+4b^3)^3 is 8a^{15}+48a^{10}b^3+96a^5b^6+64b^9

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expand (2a^5+4b^3)^3

expand

(2 a^{5} + 4 b^{3})^{3}

8 a^{15} + 48 a^{10} b^{3} + 96 a^{5} b^{6} + 64 b^{9}

Solution steps

(2 a^{5} + 4 b^{3})^{3}

Apply Perfect Cube Formula:

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

(2 a^{5} + 4 b^{3})^{3} = (2 a^{5})^{3} + 3 (2 a^{5})^{2} \cdot 4 b^{3} + 3 \cdot 2 a^{5} (4 b^{3})^{2} + (4 b^{3})^{3}

= (2 a^{5})^{3} + 3 (2 a^{5})^{2} \cdot 4 b^{3} + 3 \cdot 2 a^{5} (4 b^{3})^{2} + (4 b^{3})^{3}

Simplify

(2 a^{5})^{3} + 3 (2 a^{5})^{2} \cdot 4 b^{3} + 3 \cdot 2 a^{5} (4 b^{3})^{2} + (4 b^{3})^{3} : 8 a^{15} + 48 a^{10} b^{3} + 96 a^{5} b^{6} + 64 b^{9}

= 8 a^{15} + 48 a^{10} b^{3} + 96 a^{5} b^{6} + 64 b^{9}

24 - 2170 - 1 k n^{68}

55 x^{2} - 3 x + 2582 x^{2} - 9 x^{2}

\frac{( x ^{13} )}{( ( x ^{6} ) ( \frac{1}{x ^{3}} ) )}

2 x^{3} 54 x

(x + y - 1)^{3}

What is expand (2a^5+4b^3)^3 ?
The solution to expand (2a^5+4b^3)^3 is 8a^{15}+48a^{10}b^3+96a^5b^6+64b^9