Question

Find the LCM for x^2-2x, x^2+2x

Answer 1

first factor out
\[x(x-2),x(x+2)\]
now, we write the common factors once and other factors once
\[LCM=x(x-2)(x+2)\\
LCM=x(x^2-4)\\
LCM=x^3-4x\]