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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(b^{3} c^{4})^{2}

\frac{45}{8} + \frac{17}{4}

255.5

(- 5) - (- 7)

(- 5) - (- 2)

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