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What is the HCF of a 2 b 4 + 2 a 2 b 2 and (ab) 7 - 4a 2 b 2?

Aptitude Problems on H.C.F and L.C.M
Choose an option
  • A
    ab
  • B
    a2 b3
  • C
    a2 b2
  • D
    a3 b2

Answer

Correct Answer: a2 b2

Explanation

a2 b4 + 2 a2 b2 = a2 b2 ( b2 +2).......................(i) and (ab)7 - 4 a2 b9 = a7 b7 - 4 a2 b9 = a2 b2(a5 b5 - 4b7)................(ii)from Eqs. (i) and (ii) HCF = a2 b2

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