Q. 4 B4.3( 10 Votes )
Let’s find the L.C.M. of the following algebraic expressions:
(x2y2-x2);(xy2-2xy + x)
Answer :
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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