Practicing Success
What is the LCM of $a^3b − ab^3 , a^3b^2 − a^2b^3, ab(a − b)$? |
$a^2b^2(a^2 + b^2)$ $a^2b^2(a^2 − b^2)$ $a^2b^3(a^2 + b^2)$ $a^3b^2(a^2 − b^2)$ |
$a^2b^2(a^2 − b^2)$ |
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) |