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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?

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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