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If x − a2 + x − b2 + x − c2 = 4(a + b + c), then x is equal to b + c c + a a + b
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- (a + b + c)2
- a2 + b2 + c2
- ab + bc + ca
- a2 + b2 + c2 – ab – bc – ca
Correct Option: A
Check through option
When x = (a + b + c)2,
+ | + | |||
b + c | c + a | a + b |
= | + | + | |||
b + c | c + a | a + b |
= | + | + | |||
b + c | c + a | a + b |
= 2a + b + c + a + 2b + c + a + b + 2c
= 4a+4b + 4c = 4 (a + b + c) = RHS.