Calculate f(−3): First, we need to calculate f(−3). The function f(x) is given by f(x)=(x−2)2−x3. Let's substitute x with −3.f(−3)=((−3)−2)2−(−3)3f(−3)=(−5)2−(−27)f(−3)=25+27f(−3)=52
Calculate f(3): Next, we need to calculate f(3). Again, we use the function f(x)=(x−2)2−x3 and substitute x with 3.f(3)=(3−2)2−33f(3)=(1)2−27f(3)=1−27f(3)=−26
Find the difference: Now, we have the values for f(−3) and f(3). We need to find the difference f(−3)−f(3).f(−3)−f(3)=52−(−26)f(−3)−f(3)=52+26f(−3)−f(3)=78
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