Factor the expression:
16x^2 - 16xy^3 + 4y^6

(4x - 2y³)²

Step-by-step explanation:

a² - 2ab + b² = (a - b)²

16x² = 4²x² = (4x)²  , Therefore, a = 4x

4y⁶=2²(y³)² = (2y³)² = b² , Therefore, b = 2y³

2ab = 2*4x*2y³ = 16xy³

16x² - 16xy³ + 4y⁶ = (4x)² - 2* 4x * 2y³ + (2y³)²

                            = (4x - 2y³)²

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