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

The solution to expand (4x^3+3y^5)^3 is 64x^9+144x^6y^5+108x^3y^{10}+27y^{15}

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expand (4x^3+3y^5)^3

expand

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

64 x^{9} + 144 x^{6} y^{5} + 108 x^{3} y^{10} + 27 y^{15}

Solution steps

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

Apply Perfect Cube Formula:

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

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

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

Simplify

(4 x^{3})^{3} + 3 (4 x^{3})^{2} \cdot 3 y^{5} + 3 \cdot 4 x^{3} (3 y^{5})^{2} + (3 y^{5})^{3} : 64 x^{9} + 144 x^{6} y^{5} + 108 x^{3} y^{10} + 27 y^{15}

= 64 x^{9} + 144 x^{6} y^{5} + 108 x^{3} y^{10} + 27 y^{15}

0.8 7^{2}

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What is expand (4x^3+3y^5)^3 ?
The solution to expand (4x^3+3y^5)^3 is 64x^9+144x^6y^5+108x^3y^{10}+27y^{15}