Provide an appropriate response.Factor out the greatest common factor: 120a9b9 - 108a7b6 + 84a3b4
A. 12(10a9b9 - 9a7b6 + 7a3b4)
B. a3b4(120a6b5 - 108a4b2 + 84)
C. 12a3(10a6b9 - 9a4b6 + 7b4)
D. 12a3b4(10a6b5 - 9a4b2 + 7)
Answer: D
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Solve the problem.The deflection d (in m) of a diving board x m from the fixed end at the pool side is given by d = kx2(3L - x), where L is the length of the diving board and k is a positive constant. Find the instantaneous rate of change of d with respect to x for x = 1.8 m. Give your answer in terms of k and L.
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