Solve the following: (a + b + c)(ab + bc + ca) - abc = ?
Answer & explanation
Correct answer: option 3
(a + b + c)(ab + bc + ca) – abc = ?
Put a = b = c = 1
(1 + 1 + 1) (1 + 1 + 1) – 1
= 3 × 3 – 1 = 8
Now put their values and satisfy from the options,
If we choose , (a + b)(b + c)(c + a)
= 2 × 2 × 2
8 (satisfied)
So the value of (a + b + c)(ab + bc + ca) – abc = (a + b)(b + c)(c + a)