12.If x2 + y2 = 5 and xy = 3. Find the value of 3(x + y)2 * 11 33 O 23 O 13
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x+y=12 and xy = 32
Using the identity, (x+y)2 = x2+2xy+y2
⇒ (12)2 =x2+64+y2
⇒ 144 = x2+y2+64
⇒ 144−64 = x2+y2
⇒ 80 = x2+y2
The answer is x2+y2 = 80
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