Question

Find the H.C.F of following expressions:2x²(x+2)(x-2)and4x(x+2)(x-4)​

Answer 1

Given:

The given expressions are
`2x^2(x+2)(x-2)` and
`4x(x+2)(x-4)`.

To find:

The H.C.F. of the given expressions.

Solution:

The two expressions are:

`2x^2(x+2)(x-2)`

`4x(x+2)(x-4)`

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.

`H.C.F.=2x(x+2)`

Therefore, the H.C.F of the given expressions is
`2x(x+2)`.