-
(1132 + 1152 + 1172 – 113 × 115 – 115 × 117 – 117 × 113) is equal to
-
- 0
- 4
- 8
- 12
Correct Option: D
a2 + b2 + c2 – ab – bc – ac
| = | (2a2 + 2b2 + 2c2 – 2ab – 2bc – 2ac) | |
| 2 |
| = | [(a − b)2 + (b − c)2 + (c − a)2 ] | |
| 2 |
| = | [(113 − 115)2 + (115 − 117)2 + (117 − 113)2 ] | |
| 2 |
Where, a = 113, b = 115, c = 117.
| = | [( − 2)2 + (− 2)2 + 42 ] | |
| 2 |
| = | (4 + 4 + 16) | |
| 2 |
| = | × 24 = 12 | |
| 2 |
