Question

M^2+n^2/m^2+n^2−2mn=

Answer 1

$\frac{m^2+n^2}{m^2+n^2-2mn} =\frac{(m+n)^2}{(m-n)^2}$

Answer 2

To simplify the expression (M^2 + n^2) / (M^2 + n^2 - 2mn), we can start by factoring the numerator and the denominator.

The numerator (M^2 + n^2) is already in its simplest form, and we cannot further simplify it.

The denominator (M^2 + n^2 - 2mn) can be factored as follows:

M^2 + n^2 - 2mn = (M - n)^2

Now, the expression becomes:

(M^2 + n^2) / ((M - n)^2)

Since the numerator and the denominator share no common factors, we cannot simplify this any further.

So the simplified expression is:

(M^2 + n^2) / ((M - n)^2)