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  • 11-05-2024
  • Mathematics
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(x - y) (x - y) if xy = 3 and x2 + y2 = 25?

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mhanifa
mhanifa mhanifa
  • 11-05-2024

19

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Use the identity:

  • (a - b)² = a² - 2ab + b²

Applying this to (x - y)(x - y), we get:

  • x² - 2xy + y²

Rearranging and substituting the given conditions into this expansion:

  • x² - 2xy + y² =
  • x² + y² - 2xy  =
  • 25 - 2*3 =
  • 25 - 6 =
  • 19

Therefore, the result of the expansion is 19.

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