find the L.C.M. of the following algebraic expressions: $(x^{2} y^{2} - x^{2}); (x y^{2} - 2 x y + x)$

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Solution

Factors of $(x^{2} y^{2} - x^{2})$ Error converting from LaTeX to MathML Factors of $(x y^{2} - 2 x y + x)$ Error converting from LaTeX to MathML 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 $(x^{2} y^{2} - x^{2}); (x y^{2} - 2 x y + x)$ is $x^{2} (y - 1)^{2} (y + 1)$

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