What is expand (x^5+4x)^3 ?

The solution to expand (x^5+4x)^3 is x^{15}+12x^{11}+48x^7+64x^3

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expand (x^5+4x)^3

expand

(x^{5} + 4 x)^{3}

x^{15} + 12 x^{11} + 48 x^{7} + 64 x^{3}

Solution steps

(x^{5} + 4 x)^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(x^{5})^{3} + 3 (x^{5})^{2} \cdot 4 x + 3 x^{5} (4 x)^{2} + (4 x)^{3} : x^{15} + 12 x^{11} + 48 x^{7} + 64 x^{3}

= x^{15} + 12 x^{11} + 48 x^{7} + 64 x^{3}

- 4 x - 3 y

\frac{m ^{90991100.2153}}{148 g ^{18}}

(x - 13)^{13}

\frac{( 4 x ^{4} + 8 x ^{3} + 6 x ^{2} )}{( 2 x ^{2} )}

8 b + 8 c

What is expand (x^5+4x)^3 ?
The solution to expand (x^5+4x)^3 is x^{15}+12x^{11}+48x^7+64x^3