If x + y = 10 and xy = 12, find the value of x2 - xy + y2 .
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 64.
x2 + y2 = (x + y)2 - 2xy
⇒ x2 + y2 = (10)2 - 2(12) = 100 - 24 = 76
⇒ x2 - xy + y2 = 76 - xy = 76 - 12 = 64