InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
Evaluate the following by using suitable identities:(i) 3042(ii) 5092 |
|
Answer» i) 3042 = (300 + 4)2 is in the form of (a + b)2. [∵ (a + b)2 = a2 + 2ab + b2 ] a = 300, b = 4 (300 + 4)2 = (300)2 + 2 × 300 × 4 + (4)2 = 300 × 300+ 2400 + 4 × 4 = 90,000 + 2400 + 16 = 92,416 ii) 5092 = (500 + 9)2 a = 500, b = 9 = (500)2 + 2 × 500 × 9 + (9)2 [ ∵ (a + b)2 = a2 + 2ab + b2] = 500 × 500 + 9000 + 9 × 9 = 2,50,000 + 9000 + 81 = 2,59,081 |
|