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If x²+ y²= 80 and xy = 12, find the value of (x - y)².​
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11 votes
11 votes
If x²+ y²= 80 and xy = 12, find the value of (x - y)².​

User Automaticoo
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2 Answers

14 votes
14 votes
We need to factorise (x−y) 2

We know the identity (a−b)2 =a2 −2ab+b2

Thus we have (x−y)2 =x2 −2xy+y2
User Flytzen
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21 votes
21 votes


(x-y)^2\\\\=x^2+y^2 -2xy\\\\=80-2(12)\\\\=80-24\\\\=56

User BalaTJ
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2.7k points
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