find the factors: x^2 - 4xy + y^2
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Answer:
x²-4xy+y²
=(x-y+√2xy)(x-y-√2xy)
Step-by-step explanation:
x²-4xy+y²
= (x²-2xy+y²)-2xy
= (x-y)²-(√2xy)²
= (x-y+√2xy)(x-y-√2xy)
Therefore,
x²-4xy+y² =(x-y+√2xy)(x-y-√2xy)
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