Given that p > 1 > q > 0 p > 1 > q > 0 p > 1 > q > 0 , compare the following two quantities: Quantity I: Value of p 3 − q 3...

Banking RBI Grade B Prelims Medium Number System (including HCF LCM) MCQ

Question

Given that $p > 1 > q > 0$ , compare the following two quantities:

Quantity I: Value of $\frac{p^3 - q^3}{p - q} - 3pq$

Quantity II: Value of $\left(1 - \frac{1}{q}\right)$

Determine the correct relationship between Quantity I and Quantity II.

Quantity I = Quantity II or no relation

Quantity I \leq Quantity II

Quantity I \geq Quantity II

Quantity I < Quantity II

algebraquantity comparisoninequalitiespolynomials

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