Question

Factorize : m^3 - mn^2 - m^2 + n^2

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Answer 1

Step-by-step explanation:

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Answer 2

$\rm{m^3-mn^2-m^2+n^2=m^3-m^2-mn^2+n^2}$

$\longrightarrow\rm{m^3-mn^2-m^2+n^2=m^2(m-1)-mn^2+n^2}$

$\longrightarrow\rm{m^3-mn^2-m^2+n^2=m^2\left(m-1\right)+n^2\left(-m+1\right)}$

$\longrightarrow\rm{m^3-mn^2-m^2+n^2=\left(-1+m\right)m^2-\left(-1+m\right)n^2}$

$\longrightarrow\rm{m^3-mn^2-m^2+n^2=\left(-1+m\right)\left(m^2-n^2\right)}$

$\longrightarrow\rm{m^3-mn^2-m^2+n^2=\left(m-1\right)\left(m+n\right)\left(m-n\right)}$