What is expand (2x^3+9y^4)^2 ?

The solution to expand (2x^3+9y^4)^2 is 4x^6+36x^3y^4+81y^8

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expand (2x^3+9y^4)^2

expand

(2 x^{3} + 9 y^{4})^{2}

4 x^{6} + 36 x^{3} y^{4} + 81 y^{8}

Solution steps

(2 x^{3} + 9 y^{4})^{2}

Apply Perfect Square Formula:

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

(2 x^{3} + 9 y^{4})^{2} = (2 x^{3})^{2} + 2 \cdot 2 x^{3} \cdot 9 y^{4} + (9 y^{4})^{2}

= (2 x^{3})^{2} + 2 \cdot 2 x^{3} \cdot 9 y^{4} + (9 y^{4})^{2}

Simplify

(2 x^{3})^{2} + 2 \cdot 2 x^{3} \cdot 9 y^{4} + (9 y^{4})^{2} : 4 x^{6} + 36 x^{3} y^{4} + 81 y^{8}

= 4 x^{6} + 36 x^{3} y^{4} + 81 y^{8}

(1 + 5)^{2}

e^{\frac{l n ( x )}{2}}

\frac{2 + 7 i}{3 - 3 i}

\frac{1}{5}

(2 y - 3)^{2}

What is expand (2x^3+9y^4)^2 ?
The solution to expand (2x^3+9y^4)^2 is 4x^6+36x^3y^4+81y^8