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  1. If   (a – 2) +
    1
    		 = – 1, then the value of (a + 2)2 +
    1
    		 is :
    (a + 2)(a + 2)2
    1. 7
    2. 11
    3. 23
    4. 27
Correct Option: A

a – 2 +
1
 = – 1
a + 2

⇒  (a – 2 + 4) +
1
 = 4 – 1
a + 2

⇒  (a + 2) +
1
 = 3
(a + 2)

On squaring both sides,
(a + 2)2 +
1
 + 2 × (a + 2) ×
1
 = 9
(a + 2)2(a + 2)

⇒ (a + 2)2 +
1
(a + 2)2

= 9 – 2 = 7


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