Question

H. What is the LCM of 8x-24 and 2(x²-6x+9)? [3 pts]

Answer 1

We need to find the LCM of:

`8x+24`

And:

`2(x^2-6x+9)`

Factorizing this we can write:

`8x+24=8(x+3)=2^3(x+3)`
`2(x^2-6x+9)=2(x-3)^2`

Now we can write the L.C.M as:

`L.C.M=2^3(x+3)(x-3)^2=24(x+3)(x-3)^2`

Then we can conclude, that the correct answer is:

L.C.M:

`L.C.M=24(x+3)(x-3)^2`