Question

State whether True or False.
The H.C.F. and L.C.M. of:

$a^2{b}^2-b^4,a{b}^2+b^3$ and $ab-b^2$ is $b;b^2(a^2-b^2)$
If true then enter $1$ and if false then enter $0$

Answer 1

Factorizing $a^2{b}^2-b^4,a{b}^2+b^3$ and $ab-b^2,$

$a^2{b}^2-b^4=b^2(a^2-b^2)=b^2(a+b)(a-b)$

$a{b}^2+b^3=b^2(a+b)$

$ab-b^2=b(a-b)$

H.C.F. $=b$

L.C.M. $=b^2(a^2-b^2)$