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Question

If a=x+y,b=xy,c=x+2y, then the value of a2+b2+c2abbcca is

A
4y2
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B
5y2
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C
6y2
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D
7y2
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Solution

The correct option is D 7y2
ab=x+yx+y=2y
bc=xyx2y=3y
ca=x+2yxy=y
Now, a2+b2+c2abbcca
= 12(ab)2+(bc)2+(ca)2
= 12(2y)2+(3y)2+y2=12×14y2=7y2

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