Given that x^2+y^2=9 and xy=5, find the value of (x - y)^2.
2 answers:
<h3>Solution:</h3>
The binomial expansion of (x - y)² is
(x - y)² = x² - 2xy + y²
Substitute the given values to the equation
(x - y)² = x² - 2xy + y²
(x - y)² = x² + y² - 2xy
(x - y)² = 9 - 2(5)
(x - y)² = 9 - 10
<u>(x - y)² = -1</u>
Therefore the value of (x - y)² is -1.
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