Q4 of 42 Page 136

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

(x2y2-x2);(xy2-2xy + x)


Factors of (x2y2-x2)

= x2 (y2-1)


= x2(y-1)(y + 1)


Factors of (xy2-2xy + x)


=x(y2-2y + 1)


=x(y-1) (y-1)


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 (x2y2-x2);(xy2-2xy + x) is x2(y-1)2(y + 1)


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