Question

What exclusions are placed on the variable a for the fraction a^2 m+4m/a^2 +4?

Answer 1

a^2 m+4m/a^2 +4

There are no restrictions on m, m can be any numbers

but

a^2 can not equal negative 4 (-4)

Answer 2

The value of a can be any real number.

Explanation:

The given expression is,

`(a^2m+4m)/(a^2+4)`

Taking m common from the numerator.

`(a^2m+4m)/(a^2+4)=((a^2+4)m)/(a^2+4)`

Cancel out the common factor.

`(a^2m+4m)/(a^2+4)=m`

Therefore the value of a can be any real number.

The given expression is not defined, where the value of the denominator is 0.

`a^2+4=0`

`a^2=-4`

`a=\pm\ 2i`

Therefore the given expression is not defined for complex numbers 2i and -2i.