Simplify the following expression: (m-n)(m+n) / (m-m-m+n2) * n(n-m) / m(m+n)

Mathematics
Simplify the following expression: (m-n)(m+n) / (m-m-m+n2) * n(n-m) / m(m+n)

ScanSolve AI Answer

The image shows a step in simplifying an algebraic expression. The expression in the image is: (mn)(m+n)mmnmn+n2×n(nm)m(m+n)\frac{(m-n)(m+n)}{m-mn-mn+n^2} \times \frac{n(n-m)}{m(m+n)} Based on the previous problem, the denominator of the first fraction was m22mn+n2m^2 - 2mn + n^2. The term mmnmn+n2m-mn-mn+n^2 in the image appears to be a transcription error where m2m^2 was written as mm. We will assume the intended denominator is m22mn+n2m^2 - 2mn + n^2.

Step 1: Simplify the denominator of the first fraction. Assuming the denominator is $m^2 - mn

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