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

User Thomas Kejser
by
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2 Answers

2 votes

Answer:(4x - 2y³)²

Explanation:

User Javier Arias
by
3.7k points
2 votes

Answer:

(4x - 2y³)²

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

User Chris Houghton
by
3.6k points
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