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 

Tutorialspoint

Updated on: 10-Oct-2022

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