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

The solution to expand (a^3+4b)^3 is a^9+12a^6b+48a^3b^2+64b^3

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expand (a^3+4b)^3

expand

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

a^{9} + 12 a^{6} b + 48 a^{3} b^{2} + 64 b^{3}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(a^{3})^{3} + 3 (a^{3})^{2} \cdot 4 b + 3 a^{3} (4 b)^{2} + (4 b)^{3} : a^{9} + 12 a^{6} b + 48 a^{3} b^{2} + 64 b^{3}

= a^{9} + 12 a^{6} b + 48 a^{3} b^{2} + 64 b^{3}

\frac{( 3 - 8 + 7 - 6 )}{( a - 3 )}

p^{2} + 12 p + 35

- y - 4 y

\frac{( 5 x ^{4} )}{( x ^{5} + 9 )}

2 cos^{4} (x) - cos^{2} (x)

What is expand (a^3+4b)^3 ?
The solution to expand (a^3+4b)^3 is a^9+12a^6b+48a^3b^2+64b^3