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Divide by m - n"
Given: $m^{2} - 2mn + n^{2} \div m - n$
To find: We have to divide the given expressions and find the solution.
Solution:
$\frac{m^{2} - 2mn + n^{2}}{ m - n}$
Factorizing numerator $m^{2} - 2mn + n^{2}$ by using the identity
$x^{2} - 2xy + y^{2} = (x - y)^{2}$
$m^{2} - 2mn + n^{2} = m^{2} - 2\times m\times n + n^{2} = (m - n)^{2}= (m -n)(m - n)$
$\frac{m^{2} - 2mn + n^{2}}{m - n}$
=$\frac{(m- n)(m - n)}{m - n}$ = m - n
So, $m^{2} - 2mn + n^{2} \div m - n$ = m - n
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