What is the LCM of a3b - ab3, a3b2 - a2b3, and ab (a - b)?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. a2b2 (a2 - b2).
Prime factorization
⇒ a3b - ab3 = ab(a2 - b2)
⇒ a3b2 - a2b3 = a2b2 (a - b)
⇒ ab (a - b) = ab(a - b)
Hence,
The required LCM = a2b2 (a2 - b2)