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Question

the LCM of (3a-15) and (3asquare-75) is?

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Solution

3a – 15 = 3(a – 5) and 3a2 – 75 = 3(a2 – 25) = 3(a – 5)(a + 5)
Hence, it can be seen that 3a – 15 is a factor of 3a2 – 75.
Hence, the LCM of (3a – 15) and (3a2 – 75) is 3a2 – 75 only.


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