Question: Find the L.C.M. of the following expressions: (x+2)(x+3), (x+3)(x-2), and (x-2)(x-3).

Solution:

Given,


1st expression: (x+2)(x+3)

2nd expression: (x+3)(x-2)

3rd expression: (x-2)(x-3)

Now,


LCM = common factors * rest factors

= (x+3)(x-2)*(x+2)(x-3)

= (x+2)(x-2) (x+3)(x-3)

= (x²-4)(x²-9)


Related Notes and Solutions:

Here is the Website link to the guide of solving HCF and LCM.
Here are all solutions of LCM for Class 10.

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