Given:
The given expressions are [tex]2x^2(x+2)(x-2)[/tex] and [tex]4x(x+2)(x-4)[/tex].
To find:
The H.C.F. of the given expressions.
Solution:
The two expressions are:
[tex]2x^2(x+2)(x-2)[/tex]
[tex]4x(x+2)(x-4)[/tex]
It is clear that 2x and (x+2) are the common factors. So, we need to multiply these common factors to get the H.C.F. of the given expressions.
[tex]H.C.F.=2x(x+2)[/tex]
Therefore, the H.C.F of the given expressions is [tex]2x(x+2)[/tex].
