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

The solution to expand (a^3+b^3)^3 is a^9+3a^6b^3+3a^3b^6+b^9

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expand (a^3+b^3)^3

expand

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

a^{9} + 3 a^{6} b^{3} + 3 a^{3} b^{6} + b^{9}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(a^{3})^{3} + 3 (a^{3})^{2} b^{3} + 3 a^{3} (b^{3})^{2} + (b^{3})^{3} : a^{9} + 3 a^{6} b^{3} + 3 a^{3} b^{6} + b^{9}

= a^{9} + 3 a^{6} b^{3} + 3 a^{3} b^{6} + b^{9}

2^{2 - 2}

(x \cdot x \cdot x)^{4}

3.14 (4)^{2}

- 2 x^{2} - 2 x

x^{4} (x^{12})

What is expand (a^3+b^3)^3 ?
The solution to expand (a^3+b^3)^3 is a^9+3a^6b^3+3a^3b^6+b^9