What is expand (3x^2+4y^3)^3 ?

The solution to expand (3x^2+4y^3)^3 is 27x^6+108x^4y^3+144x^2y^6+64y^9

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expand (3x^2+4y^3)^3

expand

(3 x^{2} + 4 y^{3})^{3}

27 x^{6} + 108 x^{4} y^{3} + 144 x^{2} y^{6} + 64 y^{9}

Solution steps

(3 x^{2} + 4 y^{3})^{3}

Apply Perfect Cube Formula:

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

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

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

Simplify

(3 x^{2})^{3} + 3 (3 x^{2})^{2} \cdot 4 y^{3} + 3 \cdot 3 x^{2} (4 y^{3})^{2} + (4 y^{3})^{3} : 27 x^{6} + 108 x^{4} y^{3} + 144 x^{2} y^{6} + 64 y^{9}

= 27 x^{6} + 108 x^{4} y^{3} + 144 x^{2} y^{6} + 64 y^{9}

3 (8 - 4 b)^{3}

\frac{8}{9} - \frac{1}{2}

\frac{x}{x + 1} + \frac{2}{x - 3}

- 4 x^{- 6}

What is expand (3x^2+4y^3)^3 ?
The solution to expand (3x^2+4y^3)^3 is 27x^6+108x^4y^3+144x^2y^6+64y^9