Set up the division: First, let's set up the division: (3x2−24x)÷(x−8). We can factor out a 3x from the numerator to simplify the expression. 3x(x−8)÷(x−8).
Factor out 3x: Now, we can cancel out the (x−8) in the numerator and the denominator since they are the same.This leaves us with just 3x.
Cancel out (x−8): So, the simplified form of the division (3x2−24x)÷(x−8) is 3x.
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