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Question

Factorise the following: (a+b)38
  1. (a+b2)(a2+2ab+b2+2a+2b+4)
  2. (ab2)(a2+2ab+b2+2a2b+4)
  3. (a+b2)(b2+2b+a2+2ab+2b+4)
  4. (a+b+2)(a2+2ab+b3+2a+2b+4)

A
(a+b2)(a2+2ab+b2+2a+2b+4)
B
(ab2)(a2+2ab+b2+2a2b+4)
C
(a+b2)(b2+2b+a2+2ab+2b+4)
D
(a+b+2)(a2+2ab+b3+2a+2b+4)
Solution
Verified by Toppr

(a+b)38
=(a+b)322
Using,a3b3=(ab)(a2+ab+b2)
=(a+b)2[(a+b)2+2(a+b)+(22)]
=(a+b2)(a2+2ab+b2+2a+2b+4)

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