Question

(m-n)^2/n-m сократить

Answer 1

Ответ:

Объяснение:

(m-n)^2/n-m=(n-m)^2/(n-m)=n-m

Answer 2

To simplify the expression ((m-n)^2)/(n-m), we can start by expanding the numerator.

Expanding (m-n)^2, we get: (m-n)^2 = (m-n)(m-n) = m^2 - 2mn + n^2

Now, the expression becomes: ((m^2 - 2mn + n^2)/(n-m))

Next, we can factor out -1 from the numerator to simplify it further: ((m^2 - 2mn + n^2)/(n-m)) = -((m^2 - 2mn + n^2)/(m-n))

Now, we can observe that the numerator (m^2 - 2mn + n^2) can be factored using the identity (a^2 - b^2) = (a + b)(a - b): (m^2 - 2mn + n^2) = (m - n)(m - n) = (m - n)^2

Substituting this back into the expression, we have: -((m^2 - 2mn + n^2)/(m-n)) = -((m - n)^2/(m - n))

Finally, we can cancel out the common factor of (m - n) in the numerator and denominator, resulting in: -((m - n)^2/(m - n)) = -(m - n)

Therefore, the simplified expression is -(m - n).