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Question

If x2 + y2 = 14 and xy =3, find the value of 2(x+y)2 - 5(xy)2.



Correct Answer
A

0

Your Answer
B

106

Your Answer
C

14

Your Answer
D

52


Solution

The correct option is C

0


2(x2 + y2 +2xy)5(x2 - 2xy + y2)
= 2x2 +2 y2 + 4xy -5x2 + 10xy - 5y2
= -3x2 - 3y2 + 14xy
= -3(x2 +y2) + 14xy
= (-3 × 14) + (14 × 3)
= -42+42
= 0

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