lisa989
lisa989 lisa989
  • 17-04-2022
  • Mathematics
contestada

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

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loneguy
loneguy loneguy
  • 17-04-2022

[tex](x-y)^2\\\\=x^2+y^2 -2xy\\\\=80-2(12)\\\\=80-24\\\\=56[/tex]

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ivanthegorilla30 ivanthegorilla30
  • 17-04-2022
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
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