Question

Which expression is equivalent to mn²/mn+m²n² ? a.) 1/n+m b.) n/1+m²n² c.) n/1+mn d.) 1/m²n​

Answer 1

Given:

The given expression is
`(m n^(2))/(m n+m^(2) n^(2))`

We need to determine the equivalent expression.

Equivalent expression:

The equivalent expression can be determined by simplifying the given expression.

Thus, let us factor out the common term "mn" from the denominator.

Thus, we have;

`(m n^(2))/(n m(1+m n))`

Cancelling the common terms, we get;

`(n)/(1+m n)`

Thus, the equivalent expression is
`(n)/(1+m n)`

Hence, Option c is the correct answer.