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To evaluate the expression x^2 - 5y^2 for x = -2 and y = 1, we substitute these values into the expression:
(-2)^2 - 5(1)^2
Simplifying further:
4 - 5(1)
4 - 5
-1
Therefore, x^2 - 5y^2 equals -1 when x = -2 and y = 1.