SOLUTION: Please help me find the least common multiple of these: 1) a^2-2ab+b^2 2) a^2-b^2 3) 3a+3b

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Question 78298: Please help me find the least common multiple of these:
1) a^2-2ab+b^2
2) a^2-b^2
3) 3a+3b



Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!


Please help me find the least common multiple of these:



1) a^2-2ab+b^2



2) a^2-b^2



3) 3a+3b



Factor each :

1) a^2-2ab+b^2 = (a+b)^2



2) a^2-b^2 = (a+b)(a-b)



3) 3a+3b = 3(a+b)





The LCM must contain each of these factors to their highest power, as follows:

LCM = 3(a-b)(a+b)^2