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

The solution to expand (x^3+3y^4)^2 is x^6+6x^3y^4+9y^8

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

expand

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

x^{6} + 6 x^{3} y^{4} + 9 y^{8}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

(x^{3})^{2} + 2 x^{3} \cdot 3 y^{4} + (3 y^{4})^{2} : x^{6} + 6 x^{3} y^{4} + 9 y^{8}

= x^{6} + 6 x^{3} y^{4} + 9 y^{8}

(1 + (- 0.01))^{\frac{1}{- 0.01}}

112 + 63

\frac{6}{5} + \frac{4}{5}

\frac{24}{99}

100 x^{4}

What is expand (x^3+3y^4)^2 ?
The solution to expand (x^3+3y^4)^2 is x^6+6x^3y^4+9y^8