Question

The L.C.M of x3 - 8 and x2 - 5x + 6 is​

Answer 1

Answer:(x-2)(x-3)(x+2)^2

Step-by-step explanation:

Given expressions are:

x^3-8.........(1)

And, x^2-5x+6.......…(2)

From (1), x^3-8=(x-2) (x^2+2x+4)=(x-2) (x+2)^2

From (2), x^2-5x+6

=x^2-2x-3x+6

=x(x-2)-3(x-2)

=(x-2) (x-3)

Now LCM =(x-2) (x-3) (x+2)^2