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

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

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

expand

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

4 x^{4} + 4 x^{2} y^{4} + y^{8}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 4 x^{4} + 4 x^{2} y^{4} + y^{8}

2^{2} + 1^{2} + 2^{2}

(2 a + 9 b)^{3}

18 x - 6 x + 2 x

x^{\frac{1}{1}}

2 \frac{9}{10}

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