If (x + y) = 35, then find the value of (x - 10)6 + (y - 25)6.
Since, (x + y) = 35 So, x = (35 - y) So, (x - 10)6 + (y - 25)6 = (35 - y - 10)6 + (y - 25)6 = (25 - y)6 + (y - 25)6 = (25 - y)6 - (25 - y)6 = 0
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