Question

$\textsf{Factorise:}\ \textbf{m(m - 1) - n(n - 1)}\\\\ \texttt{Note - Make sure to provide complete steps.}$

Answer 1

Answer:

(m-n) (m+n-1)

Step-by-step explanation:

formula used----->

_____________

1. a^2-b^2=(a+b)(a-b)

m(m-1)-n(n-1)

2 2

=m - m - n + n

2 2

=(m - n) - m +n

=(m + n) (m-n) -1 (m-n)

=(m-n) (m+n-1)

Answer 2

$\Large\bold{\underline{\underline{Answer:-}}}$

$\bf\bold{\Rightarrow \:(m - n)(m+n-1) }$

$\rule{200}{4}$

$\bf\small\bold{\underline{\underline{Step-By-Step\:Explanation:-}}}$

$\bf\bold{m(m-1)-n(n-1)}$

$\bf\bold{\Rightarrow \:m^2 - m-n^2+n}$

By changing positions for applying formula

$\bf\bold{\Rightarrow \:m^2 -n^2-m+n}$

We know that $\bf\bold{\: a^2 - b^2 = (a+b) (a-b) }$

By using this concept

$\bf\bold{\Rightarrow \:(m +n)(m-n) -m+n}$

$\bf\bold{\Rightarrow \:(m +n)(m-n) -(m-n) }$

Taking Common (m-n)

$\bf\bold{\Rightarrow \:(m - n)(m+n-1) }$