Question

The L.C.M of $a(a+b),a^2(a^2-b^2)$ and $a{b}^2(a+b{)}^2$ is

• A. $ab(a-b)(a+b)$
• B. $a^2{b}^2(a+b)(a-b{)}^2$
• C. $a^2{b}^2(a-b)(a+b{)}^2$
• D. $ab(a-b)(a-b{)}^2$

Answer 1

Answer: (C)

$a^2{b}^2(a-b)(a+b{)}^2$

$a(a+b)=a\times (a+b)$
$a^2(a^2-b^2)=a\times a\times (a+b)\times (a-b)$
$a{b}^2(a+b{)}^2=a\times b\times b\times (a+b)\times (a+b)$
L.C.M of $a(a+b),a^2(a^2-b^2)$ and $a{b}^2(a+b{)}^2=a^2{b}^2(a-b\left)\right(a+b{)}^2$
Option C is correct.