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## Question

What is the completely factored form of x2 – 16xy + 64y2?

## Answer

Answer: (x -8y)²Step-by-step explanation:The terms with squares are perfect squares, and the “xy” term is double the product of the roots of those, so you recognize this as a “perfect square trinomial.” Its two factors are equal. x² -16xy +64y² = (x -8y)²_____It matches the pattern … (a +b)² = a² +2ab +b²with a=x, b=-8y.

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