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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(6 x)^{- 2}

\frac{40}{56}

\frac{5}{6} - \frac{2}{6}

1 - 25 q^{4}

(z + 2)^{- 3} (z + 2)^{- 1}

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