Q4 of 42 Page 136

Let’s find the L.C.M. of the following algebraic expressions:

p2-q2,(p + q)2


p2-q2,(p + q)2


Factors of p2-q2


=(p + q)(p-q)


Factors of (p + q)2


=(p + q) (p + q)


LCM is the lowest common multiple, which is the product of all the common factors taken once and the remaining factors as it is.


∴ the LCM of p2-q2,(p + q)2 is (p-q) (p + q)2


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