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If m + 1 = 4, find the value of (m − 2)2 + 1 . m − 2 (m − 2)2
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- –2
- 0
- 2
- 4
Correct Option: C
| m + | = 4 | |
| m − 2 |
| ⇒ m + | – 2 = 4 – 2 | |
| m − 2 |
| ⇒ (m − 2) + | = 4 – 2 = 2 | |
| (m − 2) |
On squaring both sides,
| (m − 2)2 + | + 2(m − 2) |  |  | = 4 | ||
| (m − 2)2 | m − 2 |
| ⇒ (m − 2)2 + | = 4 − 2 = 2 | |
| (m − 2)2 |
Second Method :
| m + | = 4 | |
| m − 2 |
| m − 2 + | = 4 − 2 | |
| m − 2 |
| m − 2 + | = 2 | |
| m − 2 |
| (m − 2)2 + | = 2 | |
| (m − 2)2 |
