What is expand (2x^2+5y^2)^2 ?

The solution to expand (2x^2+5y^2)^2 is 4x^4+20x^2y^2+25y^4

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expand (2x^2+5y^2)^2

expand

(2 x^{2} + 5 y^{2})^{2}

4 x^{4} + 20 x^{2} y^{2} + 25 y^{4}

Solution steps

(2 x^{2} + 5 y^{2})^{2}

Apply Perfect Square Formula:

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

(2 x^{2} + 5 y^{2})^{2} = (2 x^{2})^{2} + 2 \cdot 2 x^{2} \cdot 5 y^{2} + (5 y^{2})^{2}

= (2 x^{2})^{2} + 2 \cdot 2 x^{2} \cdot 5 y^{2} + (5 y^{2})^{2}

Simplify

(2 x^{2})^{2} + 2 \cdot 2 x^{2} \cdot 5 y^{2} + (5 y^{2})^{2} : 4 x^{4} + 20 x^{2} y^{2} + 25 y^{4}

= 4 x^{4} + 20 x^{2} y^{2} + 25 y^{4}

4 + \frac{8}{3}

3 (3 x + 3 y - 7) - 3 (8 x - 2 y + 2)

cos^{2} (x) \cdot cos (x)

\frac{4}{2 - 7}

\frac{e ^{x}}{x}

What is expand (2x^2+5y^2)^2 ?
The solution to expand (2x^2+5y^2)^2 is 4x^4+20x^2y^2+25y^4