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

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

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

expand

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

4 x^{4} + 4 x^{2} y^{3} + y^{6}

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 4 x^{4} + 4 x^{2} y^{3} + y^{6}

(3)^{\frac{2}{3}}

(y - 1) (y + 1)

(16 - x^{2})^{2}

- 2 x

- 33

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