Question

The L.C.M. of $(x^2+x-6)$ and $(x-2{)}^2$ is .

• A. $(x+3)(x-2{)}^2$
• B. $(x+3)(x+2{)}^2$
• C. $(x-3)(x-2{)}^2$
• D. $(x-3)(x+2{)}^2$

Answer 1

The correct option is A $(x+3)(x-2{)}^2$

First expression, $x^2+x-6$ can be factorized as $(x-2)(x+3)$.

Second expression, $(x-2{)}^2$ can be factorized as $(x-2)(x-2)$.

So, the LCM of both the expressions = $(x+3)$ $(x-2{)}^2$