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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

64 (3 x - 4)^{2} - 36 y^{2}

\frac{( 10 x ^{4} )}{( 6 x ^{2} )}

\frac{( x ^{- 1} \cdot y ^{- 1} )}{( x ^{- 1} + y ^{- 1} )}

(\frac{3 x - 4}{2 + 2 z})^{3}

cos (x + y) + \frac{x ^{2}}{6} - \frac{y ^{2}}{6}

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