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  • 14-02-2022
  • Mathematics
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What is the completely factored form of x2 – 16xy + 64y2?
xy(x – 16 + 64y)
xy(x + 16 + 64y)
(x – 8y)(x – 8y)
(x + 8y)(x + 8y)

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  • 14-02-2022

Answer:

(x-8y)·(x-8y)

Step-by-step explanation:

x² – 16xy + 64y² =

a² - 2  a  b  +  b² = (a -b)²

x² - 2·x·8y + (8y)² =  (x-8y)²

(x-8y)² = (x-8y)·(x-8y)

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