We need to find the LCM of:
[tex]8x+24[/tex]
And:
[tex]2(x^2-6x+9)[/tex]
Factorizing this we can write:
[tex]8x+24=8(x+3)=2^3(x+3)[/tex][tex]2(x^2-6x+9)=2(x-3)^2[/tex]
Now we can write the L.C.M as:
[tex]L.C.M=2^3(x+3)(x-3)^2=24(x+3)(x-3)^2[/tex]
Then we can conclude, that the correct answer is:
L.C.M:
[tex]L.C.M=24(x+3)(x-3)^2[/tex]
