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Popular >

expand (x^2+2x)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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