What is the square root of 4x^{4}+8x^{3}-4x+1?

Explanation

Checking the options by squaring them, (2x^2+2x-1)^2 = (2x^2+2x)^2 - 2(2x^2+2x) + 1 = 4x^4 + 8x^3 + 4x^2 - 4x^2 - 4x + 1 = 4x^4 + 8x^3 - 4x + 1, matching the given polynomial exactly.

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