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Bunuel
For all numbers m and n, \(m◊n = \frac{m^2(m - n)}{n^2}\). What is the value of 3◊2 ?


A. 1/2

B. 9/4

C. 3/2

D. 3

E. 9

Letting m = 3 and n = 2, we have:

3^2(3 - 2)/2^2 = 9/4

Answer: B
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\(m◊n = \frac{m^2(m - n)}{n^2}\) and we need to find the value of 3 ◊ 2

To find 3 ◊ 2 we will compare what is before and after ◊ in 3 ◊ 2 and \(m◊n\)
=> We will replace m with 3 and n with 2 in \(m◊n = \frac{m^2(m - n)}{n^2}\) to get the value of 3 ◊ 2

=> \(3◊2 = \frac{3^2(3 - 2)}{2^2}\) = \(\frac{9 * 1}{ 4}\) = \(\frac{9}{4}\)

So, Answer will be B
Hope it helps!

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