Compare the following two quantities: Quantity I: ( 2 a 3 + 2 b 3 ) ( a − b ) ( 6 a 2 − 7 a b + 2 b 2 + 5 a b − 4 a 2 ) ( a 2 − b 2 ) \frac{(2a^3 + 2b...

Banking IBPS PO Mains Medium Simplification MCQ

Question

Compare the following two quantities:
Quantity I:

\frac{(2a^3 + 2b^3)(a-b)}{(6a^2 - 7ab + 2b^2 + 5ab - 4a^2)(a^2 - b^2)}

Quantity II: Value of

P - 2Q

where

Q < -1 < P

and

P, Q

are integers.
Determine the correct relation between Quantity I and Quantity II.

Quantity I < Quantity II

Quantity I > Quantity II

Quantity I = Quantity II

Quantity I ≤ Quantity II

Quantity I ≥ Quantity II

algebrainequalitiesexpression simplificationquantitative comparison

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