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Popular >

expand (x+2x^2)^2

Solution

expand

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

Solution

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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