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  1. If  
    x − a2
    +
    x − b2
    +
    x − c2
    = 4(a + b + c), then x is equal to
    b + cc + aa + b
    1. (a + b + c)2
    2. a2 + b2 + c2
    3. ab + bc + ca
    4. a2 + b2 + c2 – ab – bc – ca
Correct Option: A

Check through option
When x = (a + b + c)2,

x − a2
+
x − b2
+
x − c2
b + cc + aa + b

=
(a + b + c)2 − a2
+
(a + b + c)2 − b2
+
(a + b + c)2 − c2
b + cc + aa + b

=
(2a + b + c)(b + c)
+
(a + 2b + c)(c + a)
+
(a + b + 2c)(a + b)
b + cc + aa + b

= 2a + b + c + a + 2b + c + a + b + 2c
= 4a+4b + 4c = 4 (a + b + c) = RHS.



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