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Popular >

expand (x^2+2y)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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