1 Answer

Joosep Parts · Answer 1 · 2022-07-02T06:45:54+0000

9514 1404 393

Answer:

20

Explanation:

As with any evaluation problem, take it step by step according to the order of operations.

The first thing you need to do here is compute a#b.

The given definition can be simplified a bit for evaluation purposes:

a#b = a²b -ab² = ab(a -b)

Then for a=3 and b=-2, you have ...

(3)#(-2) = (3)(-2)(3 -(-2)) = -6(5) = -30

Now, you are in a position to evaluate the expression you're asked for.

$((a\#b)^2)/(15-(a\#b))=((-30)^2)/(15-(-30))=(900)/(45)=\boxed{20}$

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