What is the LCM of $a^3b − ab^3 , a^3b^2 − a^2b^3, ab(a − b)$?
Answer & explanation
Correct answer: option 2
We know,
(a + b)(a – b) = (a2 – b2)
⇒ Let, x = a3b – ab3 = ab(a2 – b2) = ab(a – b)(a + b)
⇒ y = a3 b2 – a2b3 = a2b2(a – b)
⇒ z = ab(a – b)
⇒ LCM = a2b2(a + b)(a – b) = a2b2(a2 – b2)