Question

Match the expressions given on the left side with their L.C.M. given on the right side.

• A. $x^2{y}^2(1-y)$
• B. $18x^{2}yz$
• C. $x^3$
• D. $x(x-1{)}^2$

Answer 1

L.C.M. of $6x^{2}y$ and $9x^{2}yz$ is $18x^{2}yz$.

Now, $x^2-x$ can be written as $x(x-1)$ and $(x-1{)}^2$ can be written as $(x-1)(x-1)$.
Hence, the L.C.M. of $x(x-1)$ and $(x-1)(x-1)$ is $x(x-1{)}^2$.

L.C.M. of $x^2$ and $x^3$ is $x^3$.

Also, $9x^2-x^{2}y)$ can be written as $x^2(1-y)$ and $(x{y}^2-x{y}^3)$ can be written as $x{y}^2(1-y)$.
Hence, the L.C.M. of $(x^2-x^{2}y)$ and $9x{y}^2-x{y}^3)$ is $x^2{y}^2(1-y)$.