Question

find the lcm of f^2 , f^2-4 ,and f^2-4f+4

Answer 1

\(f^2=f*f\)
\(f^2-4=(f+2)(f-2)\)
\(f^2-4f+4=(f-2)(f-2)\)
So you're looking for the simplest polynomial that has all of the above cases as factors.

Answer 2

@mathmate so would it be f^2 (f+2) (f-2)^2

Answer 3

Exactly, well-done!
But do get familiar with how to factor expressions.

Answer 4

@mathmate okay, thank you!

Answer 5

You're welcome! :)